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If p and q are true and r and s are false, find the truth value of the following compound statement. p ∧ (q ∧ r)

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Question

If p and q are true and r and s are false, find the truth value of the following compound statement.

p ∧ (q ∧ r)

Sum
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Solution

p ∧ (q ∧ r) ≡ T ∧ (T ∧ F)

≡ T ∧ F

≡ F

Hence, truth value if F.

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Chapter 1: Mathematical Logic - Exercise 1.4 [Page 11]

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