Question: Relations Question 1. Consider the following five relations on the set A = (6, 7, 8}: R = {(6, 6), (6, 7), (6, 8), (8,

Relations

Question 1. Consider the following five relations on the set A = (6, 7, 8}: R = {(6, 6), (6, 7), (6, 8), (8, 8)}, 0 = empty relation S = {/6, 6)(6, 7), (7, 6) (7, 7), (8, 8)}, 4x 4 = universal relation T = {(6, 6), (6, 7), (7, 7), (7, 8) } Determine whether or not each of the above relations on A is: (a) reflexive; (b) symmetric; (c) transitive; (d) antisymmetric. Question 2. Given A = (6, 7, 8, 9} and B = {a b, c). Let R be the following relation from A to B: R = {(6, b), (6, c), (5, b), (9, a), (9, c) } (a) Determine the matrix of the relation. (b) Draw the arrow diagram of R. (c) Find the inverse relation R" of R. (d) Determine the domain and range of R. Question 3. Given: A = (6, 7},B = {a, b, c}, and C= {8,94). Find: A x B * C. Please explain your solution

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