Prove or disprove each of the following formulas or assertions: a) (AB)' = A' B'. b)...

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Prove or disprove each of the following formulas or assertions: a) (AB)' = A' B'. b) (AB)' B' A'. c) (AUB) nC = AU (BNC). - d) A (BUC) = (A - B) U (A - C). e) (AB) CC (A-C) - (B-C). D) P(AUB) = P(A) U P(B). g) P(ANB) = P(A) P(B). h) If P(A) CP(B), then ACB. i) If A UBCAUC, then BCC. j) If An BCCND, then ACC and BCD. B and BC, then A & C. k) If A 1) AX m) AX (BUC) = (A X B) U (A X C). (B-C) = (A x B) (A X C). n) AX (BOC) = (A x B) n (A X C). o) If A CB, then AX ACBX B. p) If AX ACBX B, then ACB. Prove or disprove each of the following formulas or assertions: a) (AB)' = A' B'. b) (AB)' B' A'. c) (AUB) nC = AU (BNC). - d) A (BUC) = (A - B) U (A - C). e) (AB) CC (A-C) - (B-C). D) P(AUB) = P(A) U P(B). g) P(ANB) = P(A) P(B). h) If P(A) CP(B), then ACB. i) If A UBCAUC, then BCC. j) If An BCCND, then ACC and BCD. B and BC, then A & C. k) If A 1) AX m) AX (BUC) = (A X B) U (A X C). (B-C) = (A x B) (A X C). n) AX (BOC) = (A x B) n (A X C). o) If A CB, then AX ACBX B. p) If AX ACBX B, then ACB.