For each of these relations on the set {1, 2, 3, 4}, decide whether it is...

For each of these relations on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive.

{(2, 4), (4, 2)}
{(1, 2), (2, 3), (3, 4)}
{(1, 1), (2, 2), (3, 3), (4, 4)}
{(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}

For a) and b) please use the graph representation to determine their properties

For c) and d) please use matrix representation to determine their properties.

Expert Solution

Colby Messinger answered 1 year ago

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