Question: solve *2. Let S be a nonempty set and P(S) the power set of S. For any A,B P(S), define the following relation on P(S):

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*2. Let S be a nonempty set and P(S) the power set of S. For any A,B P(S), define the following relation on P(S): ARB if AUB=S. Prove or disprove that F is (a) reflexive; (b) symmetric; (c) transitive

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