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Let S1 and S2 be any two equivalence relations on some set A, where A ≠...

Let S1 and S2 be any two equivalence relations on some set A, where A ≠ ∅. Recall that S1 and S2 are each a subset of A×A.

Prove or disprove (all three):

The relation S defined by S=S1∪S2 is

(a) reflexive

(b) symmetric

(c) transitive

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