Kindly help me solve these questions in detail please. Thank you. Problem 4 from Section 4.1: “Let, A, B, C be sets. Write the following in “if. . . then” format and prove: (a) x ∈ B is a sufficient condition for x ∈ A ∪ B. (b) A ∩ B ∩ C = ∅ is a necessary condition for A ∩ B = ∅. (c) A ∪ B = B is a necessary and sufficient condition for A ⊆ B.”

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