Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Negation of the statement : ' is an integer or 5 is irational' is :<div class='qna-op

Negation of the statement :

'\sqrt{5} is an integer or 5 is irational' is :

Option: 1

\sqrt{5} is irrational or 5 ia an integer.
 


Option: 2

\sqrt{5} is not an integer or 5 is not irrational.


Option: 3

\sqrt{5} is an integer and 5 is irrational.

 


Option: 4

\sqrt{5} is not an integer and 5 is not irrational.


Answers (1)

best_answer

 

 

Logic Connectivity -

Negation of a Statement 

The denial of a statement is called the negation of the statement. The negation of a statement is generally formed by introducing the word “not” at some proper place in the statement or by prefixing the statement with “It is not the case that” or “It is false that”.

The negation of a statement p in symbolic form is written as “∼ p” and read as “not p”.   

                       p : New Delhi is the capital of India.

The negation of this statement is

                    ∼p : New Delhi is not the capital of India.

Or,               ∼p : It is not the case that New Delhi is the capital of India.

Or,               ∼p : It is false that New Delhi is the capital of India.

 

The truth value of negation of a statement is always opposite to the truth value of the original statement.

\begin{array}{|c|c|}\hline \mathrm{\;\;\;\;\;}p\mathrm{\;\;\;\;\;}&\mathrm{\;\;\;}\sim p\mathrm{\;\;\;\;\;} \\ \hline \mathrm{T}& \mathrm{F} \\ \hline \mathrm{F}&\mathrm{T} \\ \hline\end{array}
-

 

 

 

Practise Session - 1 -

Q1. Write the negations of the following:
      1. Ram is a doctor or peon.
      2. Room is clean and big.
      3.\sqrt 5 is a rational number.
      4. If Ram is a doctor then he is smart

 

 

-

 

 

\sqrt 5 is not an integer and 5 is not an irrational Number

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

Posted by

chirag

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025 response sheet errors: Delhi HC allows student to apply for JEE Adv, seeks NTA explanation
anam-khan

Four Kashmiri girls defy the odds, score 99+ percentile in JEE Main 2025
anam-khan

JEE, NEET, CUET coaching centres: Assam, Rajasthan have framed laws, but will they work?

Latest Question