a) Without using truth tables, determine whether p q and (-pA-g) A (p ^q) are logically...

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a) Without using truth tables, determine whether p q and (-pA-g) A (p ^q) are logically equivalent. b) which of the following is a tautology: i (a ^ (a → b)) b. ii. (a ^ (a → b)) b. c) Let X be any set. Prove that [X U (X n P(X))] = X. a) Without using truth tables, determine whether p q and (-pA-g) A (p ^q) are logically equivalent. b) which of the following is a tautology: i (a ^ (a → b)) b. ii. (a ^ (a → b)) b. c) Let X be any set. Prove that [X U (X n P(X))] = X.