JEE Main · MathematicsHard
Consider the statement . Determine the truth value of the negation of .
- A.The negation is true
- B.The negation is false
- C.The negation is a tautology
- D.The negation is a contradiction
Show correct answer & step-by-step solution
Correct answer: B — The negation is false
Solution
- The statement is .
- For any , we can choose , which is a real number, so is a true statement.
- The negation of a true statement is false.
- Hence the answer is (B).
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