6, 8, 9, 10 4. Disprove that for any sets A, B, and C, A- (B-C) C (A-B)-C.5. Prove that for any sets A, B, and C, (A- B) n(A-C)CA- (B-C).6. Let A, B, and C be sets. Prove that Bn(AUC)C AU(Bnc).7. Let A, B, C, and D be sets. Prove that if AUBCCUD, ANB= 2,and C C A, then BC D.8. Let A, B, and C be sets. Disprove that AU (BnC) = (AUB)nc.9. Prove that for any sets A, B, and C, An (BUC) = (An B)U (Anc).10. Prove that for any sets A, B, and C, if A C B, then AU (BnC) =Bn(AUC).11. Prove that for any sets A, B, and C, (A – B) – C = A – (BUC).12. Prove that for any sets A and B, (A- B)° = A° U B.13. Prove that for any sets A, B, and C, (A - B)nC and (A – C)NB aredisjoint.14. Let A, B, C, and D be sets. Prove that if A C B, C C D, and BND = 0then A and C are disjoint.15. Prove that for any sets A, B, and C, if BNCC A, then C-A and B-are disjoint.42,3.

Name: 6, 8, 9, 10 4. Disprove that for any sets A, B, and C, A- (B-C) C (A-B
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Description: 6, 8, 9, 10 4. Disprove that for any sets A, B, and C, A- (B-C) C (A-B)-C.5. Prove that for any sets A, B, and C, (A- B) n(A-C)CA- (B-C).6. Let A, B, and C be sets. Prove that Bn(AUC)C AU(Bnc).7. Let A, B, C, and D be sets. Prove that if AUBCCUD, ANB