Consider the following five relations on the set A = {1, 2, 3}: R = {(1, 1), (1, 2), (1, 3), (3, 3)}, S = {(1, 1)(1, 2), (2, 1) (2, 2), (3, 3)} T = {(1, 1), (1, 2), (2, 2), (2,3)} Determine whether or not each of the above relations on A is: (a) reflexive; (b) symmetric; (c) transitive; (d) antisymmetric.
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Consider the following five relations on the set A = {1, 2, 3}: R = {(1, 1), (1, 2), (1, 3), (3,
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