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Question

Re write each of the following statements in the form "p if and only if q"
(i) p : If you watch television then your mind is free and if your 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

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Solution

(i) pq: You watch television if and only if your mind is free.
(ii) pq: You get an A grade if and only if you do all the homework regularly.
(iii) pq: A quadrilateral is equiangular if and only if it is a rectangle.

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