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Let R1 and R2 be equivalence relations on a set A. (a) Must R1∪R2 be an...

Let R1 and R2 be equivalence relations on a set A. (a) Must R1∪R2 be an equivalence relation? (b) Must R1∩R2 be an equivalence relation? (c) Must R1⊕R2 be an equivalence relation?[⊕is the symmetric difference:x∈A⊕B if and only if x∈A,x∈B, and x /∈A∩B.]

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