Negation of statement P : For every real number, either x > 5 or x < 5 is

English

Gujarati

Hindi

Mathematical Reasoning

normal

Negation of the statement $P$ : For every real number, either $x > 5$ or $x < 5$ is

A

There exist a real number $x$ such that neither $x \geq 5\,$ nor $x \leq 5\,$

B

For every real number, either $x < 5$ or $x > 5$

C

There exist a real number $x$ such that neither $x > 5$ nor $x < 5$

D

None of these

Solution

Negative of $Pv.Q$ is $ \sim P^{\wedge } \sim Q$

Standard 11

Mathematics

Share

Similar Questions

The maximum number of compound propositions, out of $p \vee r \vee s , p \vee P \vee \sim s , p \vee \sim q \vee s$,

$\sim p \vee \sim r \vee s , \sim p \vee \sim r \vee \sim s , \sim p \vee q \vee \sim s$, $q \vee r \vee \sim s , q \vee \sim r \vee \sim s , \sim p \vee \sim q \vee \sim s$

that can be made simultaneously true by an assignment of the truth values to $p , q , r$ and $s$, is equal to

hard

(JEE MAIN-2022)

Which of the following Boolean expressions is not a tautology ?

medium

(JEE MAIN-2021)

Let $p$ and $q$ be two Statements. Amongst the following, the Statement that is equivalent to $p \to q$ is

hard

(AIEEE-2012)

The logically equivalent of $p \Leftrightarrow q$ is :-

normal

Which of the following is not a statement

easy