# Let R1 be a binary relation on the set of integers defined as follows: R1 = {(x, y) / 4 divides x – y}. Determine whether the given relation R1 is an equivalence relation on the set {1, 2, 3,

17,687 results
1. ## MATH

Check It For Me Pleaseee Question 1 A) How do you know whether a relation is a function?(1 point) -By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range. -By

2. ## Discrete Math

Which of these relations on {0, 1, 2, 3} are equivalence relations? Justify the relation(s) that are not equivalent. R1: {(0,0), (1,1), (2,2), (3,3)} R2: {(0,0), (1,1), (1,3), (2,2), (2,3), (3,1), (3,2), (3,3)} R3: {(0,0), (0,1), (0,2), (1,0), (1,1),

3. ## Maths

if relation r1 and r2 from set A to set B are defined as r1{(1,2),(3,4),(5,6)} and r2 ={(2,1),(4,3),(6,5)}, then n(AXB) Options A)35 B)91 C)53 D)55

4. ## Math

A binary operation * is defined on the set R of real numbers by: a+b+ab where a, b€R .Calculate 5*(-2)*5.Find the identity element of R under the operation*. Determine the inverse under * of a general element a €R

5. ## 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?

6. ## Discrete Math

Consider the following relations on R, the set of real numbers a. R1: x, y ∈ R if and only if x = y. b. R2: x, y ∈ R if and only if x ≥ y. c. R3 : x, y ∈ R if and only if xy < 0. Determine whether or not each relation is flexible, symmetric,

7. ## math

Find the binary equivalent of x^8+x^3+x+1 x^1000 + x^11 + x + 1 I just converted the decimal-format exponents to binary format (0's and 1's times powers of 2). The reason you did not get a reply so far is that most of the tutors have probably never heard

8. ## computer science

What is the binary representation of the following hexadecimal number? What are the decimal numbers they represent when interpreted as undesigned integers. (a) F4 (b) 9F

9. ## Further maths

A binary operation * is defined on the set R of real number by a * b = a + b + ab ( where a, b belong to R ). Calculate 5 * ( - 2 ) * and find the identity element e of R under the operation. Determine the inverse under * of a general element a belong to R

10. ## Science

which of the following can help astronomers detect if a star is part of a binary star system A. the star varies temperatures near the binary star B. the star wobbles near the binary star C. the star has very strong gravity D. the star belongs to an open

11. ## 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?

12. ## Math

How do we convert 1111010.11(binary) to decimal by first representing it in BCD form and then converting it to decimal An example given in the note has divided the integer part of the given binary number by 1010 successively and multiplied the fractional

13. ## Maths

if relation r1 and r2 from set A to set B are defined as r1{(1,2),(3,4),(5,6)} and r2 ={(2,1),(4,3),(6,5)}, then n(AXB)

14. ## Math

The binary operation *on the set R of all real numbers is defined as a*b=2a+3b-5. a)find the inverse element of* b)show whether or not *is commutative c)find -3 *1/4

15. ## Math

I suggest if you cannot check them please don't comment. Not trying to be rude but pretty sure most u know what I mean. I am not here for answers just for someone to check my work 6th grade math. 1. -15 > -21 A. > B. < C. = Which number is greater than -24

16. ## 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

17. ## 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

18. ## 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

19. ## 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?

20. ## algebra

Hello there can someone help me check these 2 questions please. 1. Determine if the set of points (−1,3), (2,5), (3,8), and (4,5) is a function. Explain. A. The set of points is a function because each value in the domain corresponds to exactly one value

21. ## Math

I am not here for answers just for someone to check my work 6th grade math. -15 > -21 Which number is greater than -24 A. -42 B. -27 C.-16*** D. -32 Which set of integers is ordered from least to greatest? A. -13,4,0,-8 B. -5,-2,3,1 *** C. -12,-8,-4,7 D.

22. ## Maths!!!

4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of (p/q)+(r/s) can be written as a/b, where a and b are positive, coprime integers. What is the value of a+b?

23. ## Peter

For all positive integers w and y, where w > y, let the operation ☺ be defined by w ☺ y = (2^(w + y))/(2^(w - y)). For how many positive integers w is w ☺ 1 equal to 4? A. More than four B. None C. One D. Two E. Four *I found only 3/5 as the answer

24. ## DISCRETE MATH

We have a relation R on Z+ defined as follows: mRn if and only if m|n. a. Explain why the relation R is not a function. b. Determine the set A = {m ∈ Z|mR52} and give its cardinality |A|. c. Determine the set B = {n ∈ Z|52Rn}. d. Indicate whether A ∩

25. ## Algebra

Question : For each of the following, let the operation ∗ be defined on Z by the given rule. Determine in each case whether Z is a group with respect to ∗ and whether it is an abelian group. State which, if any, conditions fail to hold. (a) x ∗ y = x

26. ## Math

The relation R on {1,2,3,...} where aRb means a/b for reflexive, symmetric, antisymmetric or transitive in the binary family. Also, the relation R on the set of all pepole where aRB means that a is at least as tall as b. Where is the releation R on N where

27. ## math

which of the following are binary operation.justify your answer. (i) the operation . defined on Q by a.b =a(b-a) (ii) the operation . defined on [0, pi] by x.y = cosxy also,for those operation which are binary operations,check whether they are associated

28. ## Computer Science

Convert the following binary numbers to decimal (6 points): 11111 101011 1101011 Convert the following decimal numbers to binary (6 points): 49 367 1023 Convert the following hex numbers to decimal (4 points): ACE 800 Convert the following decimal numbers

29. ## 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?

30. ## math

If a * b is a binary operation defined as a + b / a , evaluate 2 * 4.

31. ## Discrete Mathematics

Suppose a0, a1, a2 ,... is a sequence defined recursively as follows: a1 = 1, a2 = 2, a3 = 3 and ak = ak-1 + ak-2 + ak-3 for all integers k > 3. Use strong induction to show that an < 2n for all integers n ≥ 1.

32. ## physics

Black hole in X-Ray Binary. An X-ray binary consists of 2 stars with masses (the accreting compact object) and (the donor). The orbits are circular with radii and centered on the center of mass. (a) Find the orbital period of the binary following the

33. ## mathematics

A binary operation ∆ defined on the R of real numbers by a∆b=A square-2ab+bsquare where a,bER find (a)R such that 2∆(-5)=√8. (b) (x+1)∆x out of x, x is not equal to 0.

34. ## Discrete Math

Consider the following relation on R1, the set of real numbers R1 = {(1,1), (1,2), (2,1), (2,2), (3,3), (4,4), (3,2), (2,3)} Determine whether or not each relation is flexible, symmetric, anti-symmetric, or transitive. * Reflexive because the relation

35. ## college math question

Find the GCD of 24 and 49 in the integers of Q[sqrt(3)], assuming that the GCD is defined. (Note: you need not decompose 24 or 49 into primes in Q[sqrt(3)]. Please teach me . Thank you very much. The only integer divisor of both 24 and 49 is 1. I don't

36. ## Pre Cal.

Given that x is an integer between -2 and 2, state the relation represented by the equation y = 2-abs(x) by listing a set of ordered pairs. Then state whether the relation is a function. I think it's: (-2,0) (-1,1) (0,2) (1,1) (2,0)

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

38. ## Elementary Set Theory

An operation * is defined by the relation x*y = 5x + 3y - 4xy Evaluate (3*2)*4

39. ## Set Theory

1)An operation* is defined by the relation x*y = 5x + 3y - 4xy Evaluate i) (2*(-1)) ii) (3*2)*4

40. ## Math

Let R1 be a binary relation on the set of integers defined as follows: R1 = {(x, y) / 4 divides x – y}. Determine whether the given relation R1 is an equivalence relation on the set {1, 2, 3, 4, 5}.

41. ## Discrete Mathematics. Need Help

Let A be the set of all ordered pairs of positive integers and R be the relation defined on A where (a,b)R(c,d) means that b-a=d-c. a)Show that R is an equivalence relation. b)Find [(3, 5)] and [(7, 1)].

42. ## Maths

A binary operation x defined on the set of integers is such that m x n =m+n+mn for all the integers m and n. Find the inverse of -5 under the operation, if the Identity element is o?

43. ## Maths

Show that the relation R defined on set A of all polygons as R={(P1,P2):P1 and P2 have same number of sides},Is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3,4,5?

44. ## Geometry and Discrete Mathematics (Proofs)

Observe that the last two digits of 7^2 are 49, the last two digits of 7^3 are 43, the last two digits of 7^4 are 01, and the last two digits of 7^5 are 07. Prove that the last two digits of 7^201 are 07. 7^2 = ...49 7^3 = ...43 7^4 = ...01 7^5 = ...07

45. ## math

let A be defined as the set of all two digit integers that are more than 20 and let P be defined as the set of all prime numbers .how many numbers are there that belong to both these sets? 1.13 2.17 3.21 4.25 explain the ans please

46. ## math

indicates required items An operation * is defined by the relation x*y = 5x + 3y – 4xy. Evaluate [2*(-1) ] A. 15 B. 10 C. 8 D. -3 A B C D An operation * is defined by the relation x*y = 5x + 3y – 4xy. Evaluate (3*2)*4 A. -15 B. 45 C. 48 D. 12 A B C D

47. ## math

Which of the following are binary operation.justify your answer. (i) the operation . defined on Q by a.b =a(b-a) (ii) the operation . defined on [0, pi] by x.y = cosxy also,for those operation which are binary operations,check whether they are associated

48. ## Maths

A sequence {ai}is defined by the recurrence relation an=40−4an−1 with a0=−4. There exists real valued constants r,s and t such that ai=r⋅si+t for all non-negative integers i. Determine r2+s2+t2.

49. ## Discrete Math

a) Show that the relation R on Z x Z defined by (a , b) R (c, d) if and only if a + d = b + c is an equivalence relation. b) Show that a subset of an anti symmetric relation is also anti symmetric. c) Suppose that R is a symmetric relation on a set A. Is R

50. ## Math

Set Q is defined as odd integers from 1 to 2000. How many ordered pairs (a,b) are there in set Q whereby a

51. ## DISCRETE MATH

We have a relation R on Z+ defined as follows: mRn if and only if m|n. Determine the set B = {n ∈ Z|52Rn}. Thanks

52. ## Geometry(first one is typo)

Let ƒÆ=sin −1 7/25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

53. ## Geometry

Let ƒÆ=sin −1 7 25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

54. ## Geometry

Let ƒÆ=sin −1 7 25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

55. ## 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

56. ## Maths

The relation f is defined by f(x)={x²,0

57. ## Maths

A binary operation is defined on a set R, of really numbers a*b=a+b+2. Find the: a) identity element under the operation * b) inverse of b under the operation *?

58. ## Mathematics

An operation is defined on the set of integers by x*y=x+y+3xy I) Construct a table for this operation on the set {-1,0,1,2}

59. ## Math

A binary operation * on the set of real numbers is defined by a*b= a+b-ab for a,b, c is belongs to R. i) show that the operation is associative. That is, (a*b)*c=a*(b*c) for all a,b,c belongs to R. ii) Find the value of -5*8 and also the value of

60. ## Math

Given the following partition of the set A = { 6, 7, 8, 9, 10, 11 }. Find the associated relation { [6, 7, 8], [10], [9, 11] }. What I understand is that a relation must be transitive, reflexive, and symmetric. How could I show that set A exhibits these

61. ## Math

A binary operation * is defined on the set R of real numbers by:a*b=a+b+ab where a, b € R.Calculate 5*(-2)*5. Find the identity element if R under the operation *. Determine the inverse under * of a general element a € R.

62. ## math

what is the factorial of a negative number? The factorial function has singularities at the negative integers. You can see this as follows. For integers we define: (n+1)! = (n+1)n! and we put 0! = 1 So, from 0! you can compute 1! and from that you can

63. ## Math

List the members of the equivalence relation on the set {1, 2, 3, 4} defined by the given partition { {1}, {2, 4}, {3} }. Also, find the equivalence classes [1], [2], [3], and [4].

64. ## 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

65. ## Math

Consider the following: h={(1,2),(2,4),(3,6),(-1,-2),(-2,-4)}. a) Explain why h: ℤ --> ℤ does not describe h correctly. This does not describe the function h correctly because the range of the function h seems to be finite or limited to the set of even

66. ## math

Consider the following: h={(1,2),(2,4),(3,6),(-1,-2),(-2,-4)}. a) Explain why h: ℤ --> ℤ does not describe h correctly. This does not describe the function h correctly because the range of the function h seems to be finite or limited to the set of even

67. ## Discreet Mathematics

Part I: Suppose you are developing a statistical database in which information about professional football teams and records are stored. Consider the following 2 sets of data that list football teams and quarterbacks: D = {Jets, Giants, Cowboys, 49’ers,

68. ## 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?

69. ## Math

Are the following sets closed? Explain why / why not? a) The set {1, 2, 3, 4, 5} under addition? b) The set {-1, 0, 1} under addition? c) The integers under addition? d) The set of positive integers under subtraction? e) The set of natural numbers under

70. ## MATH

TWO INTEGERS ARE DEFINED AS "PARTNERS" IF BOTH OF THEIR PRIME FACTORIZATIONS CONTAIN ALL THE SAME PRIME FACTORS. FOR EXAMPLE, 15 AND 45 ARE PARTNERS SINCE BOTH ARE DIVISIBLE BY THE SAME SET OF PRIME NUMBERS 3 AND 5. HOW MANY POSITIVE INTEGERS GREATER THAN

71. ## math

I don't understand this question. ƒ(2n) = 2ƒ(n) for all integers n ƒ(4) = 4 If ƒ is a function defined for all positive integers n, and ƒ satisfies the two conditions above, which of the following could be the definition of ƒ?

72. ## Math

"Decide whether the following relations on Z is an equivalence relation or not. If it is, describe the partition (i.e. the equivalence classes) of Z created by the relation." - What does it mean by "describe the partition..."? For example, let a, b be

73. ## math

If # is a binary operation defined by a # b = maximum of { a, b } or a max b, find the value of 5 # 3.?

74. ## math

the binary system is used for computer programming. a binary number consists of a string of digits that are either 0s or 1s a. if a string of binary code is 5 digits long, how many binary numbers are possible if the first digit is a 1? b. how many

75. ## physics

Black hole in X-Ray Binary. (2.75/11.0 points) An X-ray binary consists of 2 stars with masses (the accreting compact object) and (the donor). The orbits are circular with radii and centered on the center of mass. (a) Find the orbital period of the binary

76. ## mathematics

Let A = (1,2,5) B = {1,2,4,5,6,8} and the relation R is "less than or equal to."Representing the relation BRA in set gives??? Please show me work

77. ## Discrete Math

Let f : R R→Z be the closed binary operation defined by f (a, b) _ _a + b_. (a) Is f commutative? (b) Is f associative? (c) Does f have an identity element?

78. ## chemistry

I have 3 questions that I am uncertain about. 1) what determines the order in which the coumponent elements of binary molecular compounds are written? 2) Name the Binary compound according to the prefix system for As2O5 3) write the formula for each of the

79. ## 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

80. ## Math

How many subsets does this set have? A = {A, B, C, D} 10 6* 8 16 Question 2 Is {3,4} ⊂ {set of integers} no yes* Question 3 Which of the following is a subset of A = { whole numbers} {-2, 4, 7}* {0, 4, 7} {1/2, 4, 7} {1.5, 4, 7} Question 4 If U = Set of

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. ## Discrete Structures

Consider the divisibility relation on the set S = {-5,-3,-2,2,3,5} To be more precise, this is the relation: R = {(x, y) ∈ S^2| x divides y}. Is the relation Reflexive? Symmetric? Anti-symmetric? Transitive? ----------------------- The relation is

84. ## 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

85. ## Math

Suppose R is the relation on N where aRb means that a ends in the same digit in which b ends. Determine whether R is an equivalence relation on N. And, Suppose that R and S are equivalence relations on a set A. Prove that the R ¿ S is also an

86. ## discrete math

Let f:ℤ+ → ℤ+ be the function defined by: for each x ∈ ℤ+, f(x) is the number of positive divisors of x. - find integers m, n, nd k so tha f(m)=3, f(n) = 4 anf f(k) = 5 -is f one-to one? Explain, is f unto? prove is it true that all positive odd

87. ## math

Let f:ℤ+ → ℤ+ be the function defined by: for each x ∈ ℤ+, f(x) is the number of positive divisors of x. - find integers m, n, nd k so tha f(m)=3, f(n) = 4 anf f(k) = 5 -is f one-to one? Explain, is f unto? prove is it true that all positive odd

88. ## math help please

Let f:ℤ+ → ℤ+ be the function defined by: for each x ∈ ℤ+, f(x) is the number of positive divisors of x. - find integers m, n, and k so tha f(m)=3, f(n) = 4 anf f(k) = 5 -is f one-to one? Explain, is f unto? prove is it true that all positive odd

89. ## Statistics

The controller for a garage door opener has nine binary switches that can be set to either on or off. How many different total settings can be set on this controller?

90. ## stats

The controller for a garage door opener has nine binary switches that can be set to either on or off. How many different total settings can be set on this controller?

91. ## MAths

4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of p/q+r/s can be written as a/b, where a and b are positive, coprime integers. What is the value of a+b?

92. ## 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

93. ## 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.

94. ## mathematics

4 distinct integers p, q, r and s are chosen from the set {1,2,3,…,16,17}. The minimum possible value of p/q+r/s can be written as ab, where a and b are positive, coprime integers. What is the value of a+b?

95. ## Pre-Calculus

Given that x is an integer, state the relation represented by absolute value y = x/2 and 0 is less than or equal to x which is less than or equal to 2 by listing a set of ordered pairs. Then state whether the relation is a function. Write yes or no. Please

96. ## Math

What the integers best describes the location of alberto horseshoe in relation to the stake.

97. ## Math

Let [a b c] be defined by [a b c]= 2ab +3c for all integers a,b, and c. If [x 3 3] = 3, what is the value of x?

98. ## database

Given the Relational Model Notation below, extend it to define UNIQUE and NON-UNIQUE indexes for relations. The uppercase letters Q, R, S denote relation names. ■ The lowercase letters q, r, s denote relation states. ■ The letters t, u, v denote

99. ## physics

Black hole in X-Ray Binary. (2.75/11.0 points) An X-ray binary consists of 2 stars with masses (the accreting compact object) and (the donor). The orbits are circular with radii and centered on the center of mass. (a) Find the orbital period of the binary

100. ## database

Given the Relational Model Notation below (in pages 156-157 of your book), extend it to define UNIQUE and NON-UNIQUE indexes for relations. The uppercase letters Q, R, S denote relation names. ■ The lowercase letters q, r, s denote relation states. ■