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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 ∧ s)

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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 ∧ s) 

Sum
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Solution

(p → q) ∨ (r ∧ s) ≡ (T → T) ∨ (F ∧ F) 

≡ T ∨ F

≡ T
Hence, truth value if T.

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

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