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If (p ∧ ~ q) → ~ p is false, the truth values of p and q are respectively. -

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Question

If (p ∧ ~ q) → ~ p is false, the truth values of p and q are respectively.

Options

  • F, T

  • F, F

  • T, T

  • T, F

MCQ

Solution

T, F

Explanation:

p q ~ p ~ q p ∧ ~ q (p ∧ ~ q) → ~ p
T T F F F T
T F F T T F
F T T F F T
F F T T F T

∴ From the table (p ∧ ~ q) → ~ p is false when p is T and q is F.

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