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1.Prove or disprove (without using a truth table) the following is a tautology. (a) [p(pq)]q (b) (pq)(qp) 2.Show that p(qr) and q(pr) are logically equivalent

1.Prove or disprove (without using a truth table) the following is a tautology.

(a) [p(pq)]q

(b) (pq)(qp)

2.Show that p(qr) and q(pr) are logically equivalent without using a truth table, include which logical equivalences you used.

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