JEE Main · 2023 · 13 Apr 2023 · Shift 1 · Mathematical Reasoning *

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The negation of the statement
is
  1. (A)equivalent to ✓ Correct
  2. (B)equivalent to
  3. (C)equivalent to
  4. (D)a fallacy

Answer: (A)

Solution

Let . Simplify the inner implication: , which is always true (tautology). So . Therefore, .

JEE Main · 2023 · 13 Apr 2023 · Shift 1 · Single correct option

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