For the statements p and q, consider the following compound statements :
(a) (∼q∧(p→q))→∼p
(b) ((p∨q)∧∼p)→q
Then which of the following ststements is correct ?
A
(a) is a tautology but not (b).
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B
(a) and (b) both are not tautologies.
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C
(a) and (b) both are tautologies.
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D
(b) is a tautology but not (a).
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Solution
The correct option is C (a) and (b) both are tautologies. (a) pq∼qp→q∼q∧(p→q)∼p(∼q∧(p→q))→∼pTTFTFFTTFTFFFTFTFTFTTFFTTTTT