Given a set A = {1, 2, 3, 4}. Define a relation R on A as: R = {(x, y) | x - y is even} List the ordered pairs of the relation R. Is the relation R reflexive, symmetric, and transitive? Justify your answers.

Q: Given the set A- {a, b, c, d} a) If this is the relation R= {(a, b), (b, d)} Show s(R). b) If this…

A: Given R=a,b,b,d. The Symmetric closure of R denoted by sR=R∪R-1, where R-1 is the inverse of the…

Q: Let R be a relation defined as follows: x Ry means that x + y is odd, where x, y are integers.…

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Q: (b) Let R be the relation on the set S = {a,b, c, d, e} consisting of the following 6 related pairs…

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Q: In a high school graduation class, (x,y) is in the relation r if person x is the same height as…

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Q: disprove: a relation that is symmetric and transitive must TProve also be reflexive. or

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Q: 8. Let S = {(a, b), (b, a), (b, d), (b, e), (b, f), (c, c), (d, e), (f,c), (f, f)} be a relation on…

A: INTRODUCTION: A set of ordered pairs is a pair of components that appear in a specific order and are…

Q: Let R1 = {(a,b) E R²|a > b}, R2 = {(a, b) E R²|a < b} and a) R3 = {(a, b) E R²|a + b} be relations…

A: we have  R1={(a,b)∈R2|a≥b}R2={(a,b)∈R2|a&lt;b}R3={(a,b)∈R2|a≠b}

Q: A person’s birth date consists of the month, day, and year in which that person was born. The domain…

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Q: Consider the relation R= {(a, b), (a, c), (c, c), (b, b), (c, b), (b, c)} on the set A = {a,b,c}. Is…

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Q: 4 1) 3 bes this digraph illustrate a relation that is symmetric or transitive or neither? ymmetrid…

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Q: The domain for the relation R is Z × Z. (a,b) R (c,d) if and only if a <c and b< d. Indicate whether…

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Q: Given set A={1,2,3,4,5} and a relation R on set A, R = {(1,2), (1,3), (2,2), (2,4), (3,1), (3,5),…

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Q: Indicate whether the relation is: •Reflexive, anti-reflexive, or neither •Symmetric,…

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Q: Below is the arrow diagram for relation S with the domain {a, b, c, d}. Define relation T to be So…

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Q: Given the relation R = {(1,2),(2,3)} on the set A = {1,2,3} . What is the minimum  number of ordered…

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Q: Could you please help me?

A: The example of the set and their relation which is Symmetry , Transitive but not reflexive  A=1,2,3…

Q: The domain of the relation L is the set of all real numbers. For x, y e R, rLy if r < y.

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Q: 2. In the set of all US states, a relation is introduced such that aR b iff "a borders b". a. Is the…

A: Answer given below.

Q: Let X = {1, 2, 3, 4}. Let R = {(1, 3), (2, 1), (2, 2), (2, 3), (2, 4), (3, 3), (3, 4), (a, b) },…

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Q: 1. Suppose R = {(1,1), (1, 4), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 1), (4,2), (4, 4)} be a…

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Q: By listing the elements as ordered pairs, define a relation on the set A = {e, 2, 7, ♡} which is:…

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Q: ction 1.3: Let A = {-2, –1,0, 1, 2} and B = {1,2,3,5}, and define a relation R from A to B as lows:…

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Q: Help please

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Q: Prove or disprove: If a relation is symmetric and transitive, then it is also reflexive

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Q: 12. Let A be the set of all integers = {..-3,-2,-1,0,1,2,3,...}. Define the relation R on A as…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 9.₁ ) Let R= {(a,b), (b,c), (c,d),(d, a)} be a relation on a set A={a,b,c,d), Please find the…

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