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Discrete Mathematics With Applications
- Does the relation is a friend of have a reflexive property consider one person? A symmetric property consider two people? A transitive property consider three people?arrow_forwardLet A = {1, 3} and B = {2, 4, 6}. Define a relation R from A to B as follows:for all (x, y) ∈ A × B (x, y) ∈ R if and only if y > x + 1 (a) List all ordered pairs in R.(b) Draw an arrow diagram of R.(c) Is R a function? Support your answer.arrow_forwardPlease choose the correct answer. Thank you If X={1, 4, 7} and Y={2, 3} and define a relation R from X to Y as follows: For all (x, y)∈X×Y, (x, y)∈R means that x²-y² is a nonnegative integer. What are the ordered pairs of R? a. {(1, 2), (1, 3), (4, 2), (4, 3), (7, 2), (7, 3)} b. {(2, 1), (3, 1), (2, 4), (3, 4), (2, 7), (3, 7)} c. {(1, 1), (1, 4), (1, 7), (2, 3), (7, 2), (7, 3)} d. {(2, 1), (2, 3), (2, 4), (4, 3), (2, 7), (3, 7)} If X={1, 4, 7} and Y={2, 3} and define a relation R from X to Y as follows: For all (x, y)∈X×Y,(x, y)∈R means that x²-y² is a nonnegative integer. Which of the following is false? a. 4 R 2 b. 4 R 3 c. 1 R 2 d. 7 R 2arrow_forward
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