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The contrapositive of (p Λ r) → q is ______. -

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Question

The contrapositive of (p ∧ r) → q is ______.

Options

  • ∼q → ∼p ∨ ∼r 

  • ∼q → (p ∧ r) 

  • q → (p ∧ r) 

  • ∼p ∨ ∼r → ∼q

MCQ
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Solution

The contrapositive of (p Λ r) → q is ∼q → ∼p ∨ ∼r.

Explanation:

Contrapositive of (p Λ r) → q is

∼q → ∼(p ∧ r), i.e., ∼q → ∼p ∨ ∼r

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Converse, Inverse, and Contrapositive
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