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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

Which of the following is incorrect?

Options

  1. A~ p ⇔ ~ q ≡ p ⇔ q
  2. Bp ⇔ ~ q ≡ p ⇒ q
  3. C~ p ⇔ q ≡ ~ p ⇒ q
  4. D~ p ⇒ q ≡ p ∧ ~ q

Correct answer

B. p ⇔ ~ q ≡ p ⇒ q

Step-by-step solution

Option C & D are theorems Hence, C & D are correct For option A , ~ p ⇔ ~ q ≡ p ⇔ ~ ~ q ≡ p ⇔ q Hence, A is correct For option B , When p is true and q is false then p ⇔ ~ q is true and p ⇒ q is false Hence, option B is incorrect

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