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Rewrite each of the following statements in the form " $p$ if and only if $q^{\prime \prime}$
(i) $p$ : If you watch television, then you mind is free and if you mind is free, then you watch television.
(ii) $q$ : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
(iii) $r$ : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.
(i) $p$ : If you watch television, then you mind is free and if you mind is free, then you watch television.
(ii) $q$ : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
(iii) $r$ : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.
Solution:
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Verified Answer
(i) You watch a television if and only if your mind is free.
(ii) You get grade A if and only if you do all the home work regularly.
(iii) A quadrilateral is equiangular if and only if it is a rectangle.
(ii) You get grade A if and only if you do all the home work regularly.
(iii) A quadrilateral is equiangular if and only if it is a rectangle.
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