Question: 4. Consider the relation R on the set S = {1, 2, 3, 4} defined by R = { (1,1), (1,3), (2, 1), (2,2), (3,3),

4. Consider the relation R on the set S = {1, 2, 3, 4} defined by

R = { (1,1), (1,3), (2, 1), (2,2), (3,3), (3, 4), (4,1), (4,3)}.

a. Explain why R is or is not symmetric.

b. Explain why R is or is not transitive.

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