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JEE Main20205 Sep 2020Evening ShiftMathematicsMathematical ReasoningActual

The statement p → q → p → p → p ∨ q is :

Options

  1. Aequivalent to p ∧ q ∨ ~ q
  2. Ba contradiction
  3. Cequivalent to p ∨ q ∧ ~ p
  4. Da tautology

Correct answer

D. a tautology

Step-by-step solution

p q q → p p ∨ q r : p → q → p s : p → ( p ∨ q ) r → s T T T T T T T T F T T T T T F T F T T T T F F T F T T T

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