The contrapositive of the statement 'If Jaipu | vedclass

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Question

(B) Let $p$ be the statement 'Jaipur is the capital of Rajasthan' and $q$ be the statement 'Jaipur is in India'.The given statement is of the form $p

Vedclass · Accepted Answer

If Jaipur is not in India,then Jaipur is not the capital of Rajasthan.

Vedclass · Answer

(B) Let $p$ be the statement 'Jaipur is the capital of Rajasthan' and $q$ be the statement 'Jaipur is in India'.The given statement is of the form $p 	o q$.The contrapositive of $p 	o q$ is defined as $(\sim q) 	o (\sim p)$.Here,$\sim q$ is 'Jaipur is not in India' and $\sim p$ is 'Jaipur is not the capital of Rajasthan'.Therefore,the contrapositive is 'If Jaipur is not in India,then Jaipur is not the capital of Rajasthan'.

The contrapositive of the statement 'If Jaipur is the capital of Rajasthan,then Jaipur is in India' is:

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