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

Answer 1

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