1. math

    Give a counterexample to show that the following generalization about the set of integers is false. Closure property for division.
  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
  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.
  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
  5. 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
  6. 11th grade mths

    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
  7. 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
  8. 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.
  9. 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
  10. Maths(please check urgently

    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
  11. 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
  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
  13. math

    If m=n,then m−n = n−m = 0. Give a counterexample to show that the conditional is false
  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
  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
  16. 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<15. b) if a <15, then a<10; false.
  17. 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.
  18. Algebra

    show all work for counterexample.for all integers a, b, and c----if a=b, then a/c=b/c
  19. 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
  20. 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
  21. 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
  22. math 213

    Tell whether each of the following is true for all sets A, B If false, give a counterexample. A
  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)
  24. 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!!!
  25. alegebra

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

    Find a counterexample to show the statement is false. the whole number s are closed under division.
  27. 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.
  28. geometry

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

    Find one counterexample to show that each conjecture is false. The sum of two numbers is greater than either number.
  30. 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.
  31. Geometry

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

    "Determine whether the conjecture is true or false.Give a counterexample for any false conjecture". Given: x = 5 Conjecture: m = 5 PLEASE HELP!!!
  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.
  34. 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.
  35. 11th grade maths

    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
  36. 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.
  37. 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
  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
  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.
  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
  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
  42. 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
  43. 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
  44. 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??
  45. 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
  46. 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)
  47. 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.
  48. 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.
  49. 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?
  50. Math

    If a set of closed under addition, must it also be closed under multiplication? explain your answer or give a counterexample
  51. 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?
  52. 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.
  53. 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?
  54. 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.
  55. 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?
  56. 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?
  57. True/False

    A function is continuous at a point if its limit exists at that point. I think it's false because of the counterexample of one-sided limits?
  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
  59. 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
  60. 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?
  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
  62. 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
  63. 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
  64. 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.
  65. 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  
  66. 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
  67. 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.
  68. Math 8th Grade

    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.
  69. 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.
  70. 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
  71. 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
  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
  73. 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
  74. 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
  75. MATH

    find a counterexample to prove the following is false: x is less than or equal to 2x
  76. 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
  77. 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.
  78. 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)
  79. 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
  80. 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
  81. math

    is the set of positive integers the same as the set of nonnegative integers? Explain
  82. math

    is the set of positive integers the same as the set of nonegative integers? explain please
  83. 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
  84. 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
  85. 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
  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
  87. 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
  88. 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!
  89. quad. eq.

    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
  90. 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
  91. 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
  92. MATH PLEASE SHOW WORK

    Three consecutive odd intergers are such that the sum of the squares of the first two integers is 54 more than 20 times the third integer. Determine the three integers. Please help and show all work thank you SHOW WORK SO I UNDERSTAND HOW TO DO IT THANK
  93. 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
  94. 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
  95. math

    Using these integers:-1,+6,-8,+3,-2 a) Which integers have the greatest product? Show your work. b) Which two integers have the least product? Show your work. Please help I don't understand how to figure this out thank you
  96. 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
  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
  98. calculus

    what is the property that distinguishes finite sets from infinite sets (give examples of each to accompany explaination). finite sets are countable. Infinite sets are not. so what would be an example of an infinite set? one that never ends? yes.
  99. geometry!!! please help me!!!!

    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
  100. Math

    There is something wrong with this definition for a pair of vertical angles: “If AB and CD intersect at point P,then APC and BPD are a pair of vertical angles.” Sketch a counterexample to show why it is not correct. Can you add a phrase to correct it?