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Let A = {1,2,3,4}. Give a directed graph for a non-empty relation on A that satisdies...

Let A = {1,2,3,4}. Give a directed graph for a non-empty relation on A that satisdies the given properties:

a). R is antisymmetric, not reflexive and not symmetric.

b). R is a partial order.

c). R is reflexive and symmetric but not transitive.

d). R is symmetric and transitive but not reflexive.

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