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Construct a binary relation R on a nonempty set A satisfying the given condition, justify your...

Construct a binary relation R on a nonempty set A satisfying the given condition, justify your solution.

(a) R is an equivalence relation.

(b) R is transitive, but not symmetric.

(c) R is neither symmetric nor reflexive nor transitive.

(d) (5 points) R is antisymmetric and symmetric.

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