Question

Rewrite each of the following statement in the form “p if and only if q”
 If you watch television then your mind is free and if you watch television.

Answer 1

Hint: Write in the form “p if and only if q” means that event p will happen if and only if q happens.

Complete step by step answer:
Now given in the question-
 If you watch television then your mind is free and if you watch television.
So, writing in the form “p if and only if q”, we get-
You watch television if and only if your mind is free. {Ans}
Note- Whenever such types of questions appear, always read the statement given twice or thrice and then find out what depends on what, as mentioned in the solution that you will watch television only if your mind is free.

Rewrite each of the following statement in the form “p if and only if q”
$p:$ If you watch television then your mind is free and if you watch television.
Solution –
Hint – Write in the form “p if and only if q” means that event p will happen if and only if q happens.
Now given in the question-
$p:$ If you watch television then your mind is free and if you watch television.
So, writing in the form “p if and only if q”, we get-
You watch television if and only if your mind is free. {Ans}

Note: Whenever such types of questions appear, always read the statement given twice or thrice and then find out what depends on what, as mentioned in the solution that you will watch television only if your mind is free.