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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

Let p , q and r be three statements, then p → q → r is equivalent to

Options

  1. Ap ∨ r ∧ q ∨ r
  2. Bp ∨ r ∧ ~ q ∨ r
  3. Cp ∧ r ∨ q ∨ r
  4. Dp ∨ q → r

Correct answer

B. p ∨ r ∧ ~ q ∨ r

Step-by-step solution

p → q → r ≡ ~ p ∨ q → r ≡ ~ ~ p ∨ q ∨ r ≡ p ∧ ~ q ∨ r ≡ p ∨ r ∧ ~ q ∨ r

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