Let A = {0, 1, 2, 3} and define relations R, S, and T on A as follows: R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}, S = {(0, 0), (0, 2), (0, 3), (2, 3)}, T = {(0, 1), (2, 3)}. a. Is R reflexive? symmetric? transitive? b. Is S reflexive? symmetric? transitive? c. Is T reflexive? symmetric? transitive?

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Let A = {0, 1, 2, 3} and define relations R, S, and T on A as follows:
R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)},
S = {(0, 0), (0, 2), (0, 3), (2, 3)},
T = {(0, 1), (2, 3)}.
a. Is R reflexive? symmetric? transitive?
b. Is S reflexive? symmetric? transitive?
c. Is T reflexive? symmetric? transitive?
Transcribed Image Text:Let A = {0, 1, 2, 3} and define relations R, S, and T on A as follows: R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}, S = {(0, 0), (0, 2), (0, 3), (2, 3)}, T = {(0, 1), (2, 3)}. a. Is R reflexive? symmetric? transitive? b. Is S reflexive? symmetric? transitive? c. Is T reflexive? symmetric? transitive?
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