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ExamsJEE MainMaths

The proposition ~(p → q) → [(~p) ∨ (~q)] is best classified as

  1. a tautology
  2. a contradiction
  3. neither a tautology nor a contradiction
  4. no definite conclusion can be drawn

Correct answer: a tautology

Solution

The proposition is a tautology because it is true for all possible truth values of p and q, meaning that the implication holds regardless of the truth values assigned to the variables.

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