The negation of the statement,$\exists x \in A$ such that $x+5 > 8$ is
- A$\forall x \in A, \quad x+5 \geq 8$
- B$\forall x \in A, \quad x+5 \leq 8$
- C$\forall x \in A, \quad x+5 > 8$
- D$\exists x \in A$ such that $x+5 < 8$
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Similar Questions
The expression $((p \wedge q) \vee (p \vee \sim q)) \wedge (\sim p \wedge \sim q)$ is equivalent to
If the truth value of $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is false, then which of the following is $NOT$ true?
The negation of the converse of the statement $p \lor q$ is:
DifficultMHT CET 2026
View SolutionIf the truth value of $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is false, then which of the following is $NOT$ true?
DifficultMHT CET 2026
View SolutionBy giving a counterexample,show that the following statement is not true.
$q:$ The equation $x^{2}-1=0$ does not have a root lying between $0$ and $2$.
$q:$ The equation $x^{2}-1=0$ does not have a root lying between $0$ and $2$.
Medium
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