Negation of the statement:

Question:

Negation of the statement:

$\sqrt{5}$ is an integer of 5 is irrational is:

  1. (1) $\sqrt{5}$ is not an integer or 5 is not irrational

  2. (2) $\sqrt{5}$ is not an integer and 5 is not irrational

  3. (3) $\sqrt{5}$ is irrational or 5 is an integer.

  4. (4) $\sqrt{5}$ is an integer and 5 is irrational


Correct Option: , 2

Solution:

Let $\mathrm{p}$ and $\mathrm{q}$ the statements such that $p=\sqrt{5}$ is an integer $q=5$ is an irrational number.

Then, negation of the given statement

$\sqrt{5}$ is not an integer and 5 is not an irrational Number

$\sim(p \vee q)=\sim p \wedge \sim q$

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now