Get Answers to all your Questions

header-bg qa

If p and q are both false , then which of the following is false ? 

Option: 1

\sim p \vee q


Option: 2

p \vee \sim q


Option: 3

\sim p \vee \sim q


Option: 4

none of these


Answers (1)

best_answer

 

 

Relation Between Set Notation and Truth Table -

Sets can be used to identify basic logical structures of statements. Statements have two fundamental roles either it is true or false.

Let us understand with an example of two sets p{1,2} and q{2,3}.

\begin{array}{|c|c|c|}\hline\quad p\vee q\quad & \quad p\cup q\quad&\quad 1,2,3\quad \\ \hline p\wedge q& p\cap q&2 \\ \hline p^c& \sim p & 3,4 \\ \hline q^c& \sim q&1,4 \\ \hline\end{array}

-

Validating Statements with 'OR' -

By assuming that p is false, q must be true and by assuming that q is false, p must be true

 \sim p \vee \sim q  means true or true. Thus all of them are true 

 

Posted by

seema garhwal

View full answer

JEE Main high-scoring chapters and topics

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