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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

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 ≡ p ∧ q ∴ Given statement is p → ∼ q ∨ ∼ p → ∼ q which is a tautology a s   p ∨ ~ p ≡ t

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