### Use truth tables to show the tautology

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##### Reference no: EM13500814

Question 2 Use truth tables to show the following:

(a) whether ¬p ∧ ¬(p → q) is a tautology, a contradiction or neither.

(b) whether ((p → q) ∧ (p → r)) → (p →) (q ∧ r)) is a tautology, a contradiction or neither.

(c)  ¬(¬p ∧ q) and q → p are logically equivalent.

(d) (p → (q → r)) and (q → (p → r)) are logically equivalent.

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