Let A = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here. Is the relation transitive? Explain why or why not.

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.

Edit View History HW 4 X Bookmarks Profiles ork 4 (Fall 21).pdf Module 4 Discussion N X Tab Window Help u.instructure.com/courses/147290/assignments/1885315 c) a+b=4 d) a divides b Module 4 Discussion I X Module 4 Discussion N Download Written Homework 4 X Module 4 Dis A Alternative formats Problem 1. List the ordered pairs in the relation R from A = {0,1,2,3,4} to B = {0,1,2,3), where (a, b) ER if and only if a) a = b b) a > b

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Let S = {a, b, c}. Then R = {(a, b)} is a relation on S. Which of the properties reflexive, symmetric andtransitive does the relation R possess? I know that its not reflexive or symmetric but its vacuously transitive, but I dont get why, so please explain step by step