Let P, Q, and R be statements. Determine whether or not the two expressions in each...

 

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Let P, Q, and R be statements. Determine whether or not the two expressions in each pair are logically equivalent. In each case, demonstrate that your answer is correct. (а) (Р — Q) %3D R, (b) (P V Q) = R, (c) (P A Q) = R, (d) P= (Q V R), (e) P= (Q ^ R), P = (Q = R). (P= R) V (Q → R). P = R) ^ (Q → R). (P= Q) v (P= R). (P= Q) ^ (P → R). Let P, Q, and R be statements. Determine whether or not the two expressions in each pair are logically equivalent. In each case, demonstrate that your answer is correct. (а) (Р — Q) %3D R, (b) (P V Q) = R, (c) (P A Q) = R, (d) P= (Q V R), (e) P= (Q ^ R), P = (Q = R). (P= R) V (Q → R). P = R) ^ (Q → R). (P= Q) v (P= R). (P= Q) ^ (P → R).

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