5. Let A, B, and C be sets. a) Prove AU (BNC) = (AUB) N (AUC) b) Give a specific counterexample for (AUB) ≤ § (A)U § (B).

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A: According to guidelines i solve first question only. So kindly request you to repost the remaining…

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A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…