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Please solve the questions correctly and please provide proper reasoing. 1. Simplify the following statements: (a) ((pr)(qp)) (b) ((rp)(rp)) 2. Prove the following without using

Please solve the questions correctly and please provide proper reasoing. image text in transcribed
1. Simplify the following statements: (a) ((pr)(qp)) (b) ((rp)(rp)) 2. Prove the following without using the Truth Table: (a) Show that (pq)(pr) and p(qr) are logically equivalent. (b) Show that ((pq)p)q is a tautology. (c) Show that (mn)(mn)T (d) Show that (mn)nmn

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