[solved]-Use The Set Theoretic Proofs Direct Proof Proof By Contrapositive Or Proof By Contra Diction Or Common Set Equalities To Prove Each Of The Following Statements A 4 Points For Arbitrary Sets 82954

Use the set-theoretic proofs (direct proof, proof bycontrapositive, or proof by contra-diction) or commonset-equalities to prove each of the following statements:(a) [4 points] For arbitrary sets A,B, and C,if A ⊆ C, then A∩(B∪C) = A .Clearly state your reasoning. No credit will be given for “proofby using Venn diagrams”.(b) [4 points] For arbitrary sets A, B, and C,B−C= (A∪B)−(B∪C).Show all your steps. Note: No credit will be given for “proof byVenn diagram”.Thank you in advance !!!

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