Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • How can you write "if and only if " statement ? Option: 1 p -> q if q -> p<

How can you write "if and only if " statement ? 

Option: 1

p -> q if q -> p


Option: 2

p -> q if and only if q -> p 


Option: 3

p -> q only if q -> p 


Option: 4

none of these 


Answers (1)

best_answer

 

 

Truth Table -

The Biconditional Statement

If two statements p and q are connected by the connective ‘if and only if’ then the resulting compound statement “p if and only if q” is called a biconditional of p and q and is written in symbolic form as p ↔ q or p ⇔ q.

Two line segments are congruent if and only if they are of equal length.

It is a combination of two conditional statements, “if two line segments are congruent then they are of equal length” and “if two line segments are of equal length then they are congruent”.

 

A biconditional is true if and only if both the conditionals are true.
Truth Table

\begin{array}{|c|c|c|}\hline \mathrm{\;\;\;\;\;}p\mathrm{\;\;\;\;\;}&\mathrm{\;\;\;\;\;}q\mathrm{\;\;\;\;\;} &\mathrm{\;\;\;}p\leftrightarrow q\mathrm{\;\;} \\ \hline \mathrm{T}& \mathrm{T} & \mathrm{T}\\ \hline \mathrm{T}&\mathrm{F}& \mathrm{F} \\ \hline \mathrm{F}&\mathrm{T}& \mathrm{F}\\\hline \mathrm{F}&\mathrm{F} & \mathrm{T}\\ \hline\end{array}

-

We connect the two statements with if and only if 

 

Posted by

shivangi.shekhar

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

NTA Exams 2025 Live: NEET UG date, registration form soon at neet.nta.nic.in; UGC NET revised schedule out
anam-khan

Is it difficult to get into NIT Durgapur? JEE Main cut-offs for BTech programmes
anam-khan

JEE Main Deleted Syllabus 2025: Topics to skip this year; why no optional questions?

Latest Question