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Question 420005
JEE Mathematics · Medium

Mathematical Reasoning: Biconditional MCQ

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BiconditionalMediumQuestion 420005

Question

p ↔ q (biconditional) is TRUE when:
  1. A
    p and q have the same truth value (both T or both F)
    Correct
  2. B
    p is TRUE always
  3. C
    q is FALSE always
  4. D
    p → q only

Correct answer

p and q have the same truth value (both T or both F)

Explanation

p ↔ q is TRUE when p and q are both TRUE or both FALSE. It is FALSE when they have different truth values. Equivalently: p ↔ q = (p → q) ∧ (q → p).

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