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The truth table of the conditional p → q gives F only when
Ap is T and q is T
Bp is F and q is T
Cp is T and q is F
Dp is F and q is F
Answer & Solution
Correct answer: C. p is T and q is F
1. The implication p → q is taken as 'if p then q'.
2. It is false only in the case where the hypothesis p holds but the conclusion q fails.
3. Hence p → q is F only when p = T and q = F.
_Source: Maharashtra Balbharati Std XII Mathematics Part 1, Ch 1 "Mathematical Logic" §1.4_
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