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

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Question

If p `rightarrow` (p ∧ ∼q) is false, then the truth values of p and q are respectively ______.

Options

  • F, F

  • T, F

  • T, T

  • F, T

MCQ
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Solution

If p `rightarrow` (p ∧ ∼q) is false, then the truth values of p and q are respectively T, T.

Explanation:

p q ∼q p ∧ ∼q p `bbrightarrow` (p ∧ ∼q)
T T F F F
T F T T T
F T F F T
F F T F T
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