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The logically equivalent statement of (p ∨ q) ∧ (p ∨ r) is ______ -

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Question

The logically equivalent statement of (p ∨ q) ∧ (p ∨ r) is ______ 

Options

  • p ∨ (q ∧ r)

  • q ∨ (p ∧ r)

  • p ∧ (q ∨ r)

  • q ∧ (p ∨ r)

MCQ
Fill in the Blanks

Solution

The logically equivalent statement of (p ∨ q) ∧ (p ∨ r) is p ∨ (q ∧ r).

Explanation:

Distributive law

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