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The compound statement p → q ∨ p ∧ ~ q is logically equivalent to

Options

  1. Ap ↔ q
  2. Bp ∧ q
  3. Ctautology
  4. Dcontradiction

Correct answer

C. tautology

Step-by-step solution

We know that ~ p → q ≡ p ∧ ~ q ∴ given statement is p → q ∨ ~ p → q Which is a tautology as ,   p ∨ ~ p ≡ t

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