# Give a counterexample to show that the following generalization about the set of integers is false. Closure property for division

49,771 results
1. ## math

Give a counterexample to show that the following generalization about the set of integers is false. Closure property for division.

asked by m on October 19, 2010
2. ## math

Give a counterexample to show that each of the following generalizations about the set of integers {-3,-2,-1,0,1,2,3} is false. a) commutative property for subtraction b)associative property for subtraction

asked by m on October 20, 2010
3. ## math

Give a counterexample to show that each of the following generalizations about the set of integers {-3,-2,-1,0,1,2,3} is false. a) closure property for division b) distributive property for division over addition.

asked by m on October 20, 2010
4. ## math

1)Find the third iterate x3 of f(x)=x2-4 for an initial value of x0=2 A)-4 B)4 C)12 D)-12 I chose C 2)Use Pascal's triangle to expand:(w-x)5 This ones long so I chose w5-5w4x+10w3x3-10w2x4+5wx4-x5 3)Use the binomial Theorem to find the third term in the

asked by Jon on December 13, 2007
5. ## Geometry

CounterExamples and Inductive Reasoning and Conjectures? Make a Conjecture for Each Scenario. Show your Work - the sum of the first 100 positive even numbers, - the sum of an even and odd number. - the product of two odd numbers. FInd One CounterExample to

asked by Geometry Help!!!! on September 16, 2011
6. ## Algebra

True or false? Negative numbers are closed under addition. Give a counterexample True or false? Prime numbers are closed under subtraction. Give a counterexample True or false? Natural numbers are closed under division. Give a counterexample

asked by Katherine on August 15, 2016
7. ## geometry

Determine whether the conjecture is true or false. If false, give a counterexample. Given: ∠A is supplementary to ∠B and ∠B is supplementary to ∠C. Conjecture: ∠A is supplementary to ∠C. Select one: a. False; they could be right angles. b.

asked by homework on June 15, 2018

Please check urgently .I have to submit the assignment A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range

asked by Fatima on September 18, 2012

Please check urgently .I have to submit the assignment A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range

asked by Fatima on September 18, 2012
10. ## Algebra II

In an induction proof of the statement 4+7+10+...+(3n-1)=n(3n+5)/2 the first step is to show that the statement is true for some integers n. Note:3(1)+1=1[3(1)+5]/2 is true. Select the steps required to complete the proof. A)Show that the statement is true

asked by Jon on December 15, 2007
11. ## math

If m=n,then m−n = n−m = 0. Give a counterexample to show that the conditional is false

asked by Anonymous on March 23, 2015
12. ## math

If true, prove. If false, provide just a counterexample: a. For every function f from nonnegative integers into nonnegative reals, o( f ) = O( f ) −Θ( f ) . (Here, “-“ denotes the set difference: A – B consists of elements in A that are not in

asked by huing on March 29, 2014
13. ## Maths

A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range equals [0,1] C.Give n example of a function whose is the

asked by fatima on September 17, 2012
14. ## Math/ Algebra

Give an example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5. Explain why your example models a function. Give an example of at least

asked by Dawn on March 8, 2012
15. ## math

Part 1 In your own words, define the word “function.” Give your own example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5.Explain why

asked by king on December 1, 2011
16. ## Math

Hello, Can someone help me with my math problem? Does |k – n| = |k| – |n| for all integers k and n? If so, give 3 examples.If not, give a counterexample.

asked by hannah on February 25, 2010
17. ## Algebra

show all work for counterexample.for all integers a, b, and c----if a=b, then a/c=b/c

asked by Nicole on June 3, 2009
18. ## Math

Can someone please explain this to me: Does |n+m|=|n| + |m| for all integers n and m? If so, give some examples. If not, give a counterexample.

asked by B.B. on June 30, 2009
19. ## Math

1. Write the converse of the following true conditional statement. if the converse is false, write a counterexample. If a < 10, then a < 15 a) if a > 10, the a > 15; false. Counterexample: a=12 and a

asked by Tim on October 13, 2015
20. ## math 213

Tell whether each of the following is true for all sets A, B If false, give a counterexample. A

asked by susan on August 18, 2012
21. ## math

Tell whether each of the following is true for all sets A, B, or C. If false, give a counterexample.? a. A-B=A- ∅ b. (A ¾B) ̅=(A ) ̅¾B ̅ c. A ¿(B¾C)=(A¿B)¾C d. (A-B)¿A=A e. A-(B¿C)=(A-B)¿(A-C)

asked by abby on June 15, 2013
22. ## Math

Determine whether each equation is true for all x for which both sides of the equation are defined. If it is true, support your conclusion with a sketch using the unit circle. If it is false, give a counterexample. inverse sin(-x)=-inverse sin(x) inverse

asked by Anonymous on May 25, 2009
23. ## math

Tell whether each of the following is true for all sets A, B, or C. If false, give a counterexample. c. A¿(BUC) = (A¿B) UC d. (A-B)¿A=A e. A-(B¿C) = (A-B) ¿ (A-C)

asked by susan on August 18, 2012
24. ## Math

suppose you had a very small set of numbers that contained only 0 and 1 would this set be closed under addition? if not give a counterexample. please help me

asked by penelope on September 25, 2015
25. ## math

Algebra For questions 1-5, find the value of the variable. 1. x = (1 point) 2. y = (1 point) 3. x = (1 point) 4. x = (1 point) 5. (1 point) x = , y = , b = 90 x = , y = 3, b = 95 x = , y = 2, b = 90 x = , y = , b = 130 In Exercises 6-8, decide whether the

asked by Sasha Z. on May 20, 2010
26. ## alegebra

Find a counterexample to show the statement is false. the whole number s are closed under division.

asked by zully on September 17, 2010
27. ## alegebra

Find a counterexample to show the statement is false. the whole number s are closed under division.

asked by zully on September 17, 2010
28. ## Geometry

Find one counterexample to show that each conjecture is false. The sum of two numbers is greater than either number.

asked by Catelin on August 8, 2011
29. ## geometry

find one counterexample to show that each conjecture is false : 1. the sum of two numbers is greater than either number ? help please!!!

asked by kayla on August 18, 2010
30. ## geometry

I really need help on this question: Determine whether each conjecture is true or false.Give a counterexample for any false conjecture. Given:Wx=XY Conjecture:W,X,Y are collinear. PlEASE HELP!!!

asked by Rick on September 13, 2012
31. ## Algebra

True or False. The fifth root of a positive integer is sometimes irrational. Please give an example or a counterexample so that I can understand it fully.

asked by Paula on July 26, 2013
32. ## Geometry

Find one counterexample to show that each conjecture is false. The product of two positive numbers is greater than either number.

asked by Catelin on August 8, 2011
33. ## math

The following conjectures were made by students. Which do you think are false? Give a counterexample for each conjecture if possible. a. Only half of the nonzero even numbers up to 100 are divisible by 4.

asked by chandice on June 21, 2009
34. ## geometry

"Determine whether the conjecture is true or false.Give a counterexample for any false conjecture". Given: x = 5 Conjecture: m = 5 PLEASE HELP!!!

asked by Ian on September 19, 2012
35. ## Math

determine whether each conjecture is true or false. Give a counterexample for any false conjecture Given: Points A and B are collinear. Conjecture: Points A and B form a line.

asked by Cee on December 20, 2010
36. ## math

Please check. (4xy^2)(3x^-4y^5) = 12x^-3y^7 (2x)^5 (3x)^2 = 288x^7 (-3x^2)^4 = 81x^8 True or False: the set of integers is a subset of the set of natural numbers. False All numbers are real numbers. True

asked by anonymous on August 21, 2008

A.give an example of a function whose domain is {3,4,7,9}? and whose range is {-1,0,3} B.Find two different functions whose domain is {3,8}and whose range is {-4,1} C Explain why there does not exist a function whose domain is {-1,0,3} and whose range is

asked by fatima on September 17, 2012
38. ## math

(4xy^2)(3x^-4y^5) = 12x^-3y^7 (2x)^5 (3x)^2 = 288x^7 (-3x^2)^4 = 81x^8 True or False: the set of integers is a subset of the set of natural numbers. False All numbers are real numbers. True

asked by anonymous on August 22, 2008
39. ## math

Give your own example of a function using a set of at least 4 ordered pairs. The DOMAIN will be any four integers between 0 and +10. The RANGE will be any four integers between -12 and 5

asked by tim on September 11, 2010
40. ## math

Give your own example of a function using a set of at least 4 ordered pairs. The DOMAIN will be any four integers between 0 and +10. The RANGE will be any four integers between -12 and 5.

asked by sm on November 16, 2009
41. ## Math

Find a counterexample to show that the conjecture is false. Any number that is divisible by 5 is also divisible by 3. A. 45 B. 60 C. 30 D. 25

asked by China on April 12, 2012
42. ## algebra

give a counter example to show that each statement is false, the domain of each variable is the set of real numbers..... number 1 said 1. if a2=b2, then a=b idk how yo do it??

asked by josh on October 21, 2009
43. ## math

Does absolute value n+m= absolute value n + absolute value m for all integers n and m? If so give examples if not give a counterexample.

asked by m on October 18, 2010
44. ## Discrete Structures

a. Show that in any set of n integers, there is a subset whose sum is divisible by n. b. Show that for any integer n, there is an integer whos digits (in decimal representation) consist of only 0 and 1. I don't think the first can be proved. However, in a

asked by Lolita Sams on July 2, 2005
45. ## geometry

All Clemson fans root for the Tigers. Rewrite the above statement to reflect the following conditions and state whether each condition is true or false. If false provide a counterexample:

asked by mirry on September 27, 2018
46. ## Discrete Mathematics

Write the inverse, converse, and contrapositive of the following statement: upside down A x E R, if (x + 2)(x - 3) > 0, then x < -2 or x >3 Indicate which among the statement, its converse, ints inverse, and its contrapositive are true and which are false.

asked by Joy on July 26, 2013
47. ## geometry

1) Make a conjecture about the next item in the sequence. 2, -20, 200, -2000, ? 2)Determine whether the following conjecture is true or false. Give a counterexample if the answer is false. __ __ AB ⊥ BC, then ∠ABC is a right angle 3)Make a conjecture

asked by roj on June 22, 2018
48. ## SAT math

Set M consists of the consecutive integers from -15 to y, inclusive. If the sum of all the integers in set M is 70, How many numbers are in the set? SAT prep help - Anonymous, Saturday, September 28, 2013 at 3:16pm a. 33 b. 34 c. 35 d. 36 e. 37

asked by Anonymous on September 28, 2013
49. ## math: real numbers

Determine whether the following statement is true or fase. If true, provide a proof; if false, provide a counterexample. If S is a bounded set of real numbers, and S contains sup(S) and inf(S), then S is a closed interval.

asked by sara on April 10, 2007
50. ## Math

If a set of closed under addition, must it also be closed under multiplication? explain your answer or give a counterexample

asked by Kelley on October 17, 2017
51. ## Math

The average of a set of five different positive integers is 360. The two smallest integers in the set are 99 and 102. What is the largest possible integer in this set?

asked by Mark on January 29, 2010
52. ## Math

Determine whether, for any set A, it is true that P(A) = P(U) − P(A). If it is true prove it, if it is not, give a counterexample.

asked by Anonymous on April 22, 2015
53. ## Calculus

If a_n >0 and b_n >0 and series ∑ sqrt( (a_n)^2 +(b_n)^2 ) converges, then ∑a_n and ∑b_n both converge. True or false? If true, why? If false, give a counterexample.

asked by Rebecca on October 20, 2011
54. ## Geometry plz help

1.Which choice shows a true conditional with a correctly identified hypothesis and conclusion? •If next month is January, then this month is the last of the year. Hypothesis: This month is the last of the year. Conclusion: Next month is January.

asked by GummyBears18 on September 21, 2016
55. ## Geometry

1.Which choice shows a true conditional with a correctly identified hypothesis and conclusion? •If next month is January, then this month is the last of the year. Hypothesis: This month is the last of the year. Conclusion: Next month is January.

asked by GummyBears18 on September 21, 2016
56. ## math

7. Classify each of the following as true or false. If false, tell why or give an example showing that it is not true. (a) For all sets A and B, A – B = B – A (b) For all sets A,   A (c) For all sets A, A  A   (d) The set {r, s, t,. . .,

asked by poo on December 1, 2009
57. ## Geomerty

Find a Counterexample to show that the conjecture is false. Conjecture: Any number that is divisible by 6 is also divisible by 12. A. 36 B. 30 C. 48 D. 60 Im thinking that the answer is B. 30, but i was just making sure.

asked by Court on April 12, 2010
58. ## math

provide a counterexample to show that each statement is false. a) if a four sided figure has four congruent sides, then it has for right angles. at first i thought of a trapezoid proves that wrong but then i remembered only 2 sides have to be congruent for

asked by Maryanne on September 1, 2010
59. ## math

A set of integers has a sum of 420, and an average of 60. If one of the integers in the set is 120, what is average of the remaining integers in the set?

asked by ja on January 30, 2013
60. ## SAT prep help

Set M consists of the consecutive integers from -15 to y, inclusive. If the sum of all the integers in set M is 70, How many numbers are in the set?

asked by Anonymous on September 28, 2013
61. ## Math

1. Set I contains six consecutive integers. Set J contains all integers that result from adding 3 to each of the integers in set I and also contains all integers that result from subtracting 3 from each of the integers in set I. How man more integers are

asked by Irene on September 12, 2016
62. ## math

True or false 1.) The set of integers contains the set of rational numbers 2.)Every repeating decimal is a rational number 3.)Every square root is an irrational number 4.) the set of whole numbers contains the set of rational number 5.)every terminating

asked by xavier on October 30, 2017

Which number serves as a counterexample to the statement below: All positive integers are divisible by 2 or 3 I need as much as possible.

asked by Lana Von Monroe on April 11, 2012
64. ## Geometry

Make a conjecture for each scenario The square root of an even number The product of two odd numbers and a multiple of 2 Find one counterexample to show that each conjecture is false. For two real numbers a and b, a is either equal to b or greater than b.

asked by Nautica on October 18, 2018
65. ## algebra

True or false if the statement is not true give a counterexample. 1.If a>b,and c is positive, then ac>bc? 2.if a^2=b^2,then a=b? 3. If a>b,and c is positive,then a/c>b/c?

asked by Hannah on September 12, 2014
66. ## Math

The least integer of a set of consecutive integers is -48. if the sum of these integers is 49, how many integers are in the set?

asked by Amy on August 22, 2011
67. ## Math

The least integer of a set of consecutive integers is -25 if the sum of these integers is 26,how many integers are in this set?

asked by Kayla on March 28, 2012
68. ## calculus

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. a- if f is a function of x and y and a is a real number, then f(ax, ay)= af(x,y). b- if fx(a,b) < 0, then f is

69. ## geometry

In geometry, can a counterexample be used to determine if a conjecture is false or not?

asked by erin on January 15, 2010
70. ## MATH

find a counterexample to prove the following is false: x is less than or equal to 2x

asked by alice on February 11, 2013
71. ## Math

Which statements is false? A. A decimal fraction has a multiple of 10 as a denominator. B. Every rational number can be associated with a point in the real number line. C. A terminating decimal cannot be expressed as a repeating decimal. D. The set of

asked by Kimberly on July 8, 2015
72. ## Math

write the converse and contrapositive for the conditional statement below. decide whether each of the three statements is true or false. provide a counterexample for any false statement. If n is a prime number, then n+1 is an even number

asked by bobby on December 17, 2010
73. ## Math

write the converse and contrapositive for the conditional statement below. decide whether each of the three statements is true or false. provide a counterexample for any false statement. If n is a prime number, then n+1 is an even number

asked by bobby on December 18, 2010
74. ## Math

Lisa looked at a group of even numbers. The numbers were 4, 8, 48, and 64. She made a generalization that all even numbers can be divided by 4. Which number below could you use to show weather Lisa's generalization is correct or incorrect. A. 18 B. 28 C.

asked by CanYouHelpMe on March 7, 2017
75. ## Math

1. What is the distance between the points (1, 4) and (4, 8)? I said Distance = 5 2. Find the slope between (1, 4) and (4, 8) I said 4/3 3. Are the expressions (4x+4)/4 and x+1 equivalent? I said Yes 4. Simplify (x+y)2 x2 + 2xy + y2 5. Is (x – y )2 = x2

asked by Carly on February 12, 2016
76. ## Maths

A polynomial g(x) is given by: g(x) = (x-1)(x+2)(x-a)(x-b) 1) Given that g(0)=4 show that ab=-2 2) given also that g(3)=40 show that a+b=1 3) given that a and b are integers, give possible values for a and b. Thank you

asked by Anonymous on October 14, 2015
77. ## Algebra I

Tell whether the set is closed under the operation. If it is not closed give an example that shows that the set is not closed under the operation. 10. Positive irrational numbers; division 11. Negative rational numbers; multiplication 12. Negative

asked by Anonymous on October 26, 2017
78. ## math

The statement is If a number is divisible by 2 and by 3, then it is divisible by 6 and vice versa. Is this statement true? Give an example or counterexample. I believe it is true but am stuck on the counterexample/example.

asked by m on October 8, 2010
79. ## Multiple Choice HELP!

What is a counterexample for the conjecture? Conjecture: The product of two positive numbers is greater than the sum of the two numbers. A. 3 and 5 B. 2 and 2 C. A counterexample exists, but it is not shown above. D. There is no counterexample. The

asked by ALEXA on March 20, 2014
80. ## college math

I do not understand a problem from a text book or how to solve the problem for the answer. Could shomeone show me the steps (show work) on how to solve this question. The sum of the intergers from 1 through n is n(n+1)/2. the sum of the squares of the

asked by dave on August 13, 2010
81. ## Algebra

1. Choose the correct solution in roster form. N is the set of natural numbers that are factors of 12. {1, 2, 3, 4, 6} {1, 2, 3, 4, 6, 12} {1, 2, 3, 4, 5, 6, 8, 12} *this is my answer {1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12} 2. Write the solution to the

asked by Robin Kwan on December 12, 2016
82. ## math

Give your own example of a function using a set of at least 4 ordered pairs. The DOMAIN will be any four integers between 0 and +10. The RANGE will be any four integers between -12 and 5. Your example should NOT be the same as those of other students or

asked by Nisha on January 8, 2010
83. ## Writeacher

To earn the appreciation of honest critics and endure the betrayal of false friends; To follow the way your honest critics want you to trail and change their outlook about you. To suffer the pain your false friends give you from within, but don’t let it

asked by Angelina on November 9, 2010
84. ## math 213

Tell whether each of the following is true for all sets A, B If false, give a counterexample. a. A-B= A-0 (with slashed O) b. AUB (with line over AUB) = AUB (with line over A and a line over B)

asked by susan on August 18, 2012
85. ## algebra 1

is the set of all positive integers closed under addition? if yes..give 2 examples if no,,,give 2 examples that prove it is not

asked by maria on September 9, 2017
86. ## MATH combinatorics HELP!!!!!

Determine the least positive integer n for which the following condition holds: No matter how the elements of the set of the first n positive integers, i.e. {1,2,…n}, are colored in red or blue, there are (not necessarily distinct) integers x,y,z, and w

asked by Bob K. on May 11, 2013
87. ## Geometry

1. A conditional can have a ____ of true or false. (1 point) a) hypothesis b) truth value *** c) counterexample d) conclusion Am I right? Thank you!

asked by ρσяк on January 26, 2018
88. ## math

Write the set of integers that satisfy the sentence: I had 10 question for this,anybody can show this one how to do it. 4 > n > 0

asked by thomas on August 9, 2014
89. ## math

is the set of positive integers the same as the set of nonegative integers? explain please

asked by Taylor on October 18, 2012
90. ## math

is the set of positive integers the same as the set of nonnegative integers? Explain

asked by Taylor on October 21, 2012
91. ## math

the average of 4 concecutive even integers is 17. find the integers samantha, jason, mary-beth, john, tyrik, aaron, katie, and tiffany -- You would probably get better responses if you show what YOU have done so far to try to solve these problems. Our job

asked by tiffany on November 29, 2006

find 3 consecutive integers such that the product of the second and third integer is 20 Take three integers x, y, and z. The for xyz, we want y*z = 20 The factors of 20 are 20*1 10*2 5*4. 20*1 are not consecutive. 10*2 are not consecutive. But 5 and 4 are

asked by chrisw on February 1, 2007
93. ## maths

explain why are the following not groups: 1)the set of Z integers with operation subtraction 2)The set of Z integers with operation addition 3)The set of R* of all non zero real numbers with addition

asked by JENNY on October 25, 2012
94. ## math

The following conjectures were made by students. Are they true or false? Give a counterexample if possible. Only half of the nonzero even numbers up to 100 are divisible by 4. My answer is that it is true. A number is divisible by 8 if it is divisible by 4

asked by m on October 10, 2010
95. ## english

i have to make a poster using the following words: main idea, theme, generalization. i have to give the defintion and give examples. any suggestion how to do it. thanks

asked by joe on September 6, 2009
96. ## calculus

determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false a) the function f(x)=3/2 +cx^-2 is a solution of the differential equation xy'+2y=3 b) the differential

asked by jhony on April 10, 2012
97. ## Math

I am stuck on trying to figure out how to do this question. Could someone please show me 5 necessary steps ? Thank you. Here is how the assignment question is worded. Select any two integers between -12 and +12 which will become solutions to a system of

asked by Tiffany on February 10, 2011
98. ## algebra 2

Show by counterexample that (x+y)^-2 and x^-2+y^-2 are not equivalent??

asked by Janet on October 28, 2014