Rewrite each of the following statements in the form “p if and only is q.” (i) p: If you watch television, then your mind is free, and if your mind is free, then you watch television. (ii) q: If a quadrilateral is equiangular, then it is a rectangle, and if a quadrilateral is a rectangle, then it is equiangular.
Rewrite each of the following statements in the form “p if and only is q.” (i) p: If you watch television, then your mind is free, and if your mind is free, then you watch television. (ii) q: If a quadrilateral is equiangular, then it is a rectangle, and if a quadrilateral is a rectangle, then it is equiangular.

Answers:

(i) In the form “p if and only is q.”

You watch television if and only if your mind is free.

(ii) In the form “p if and only is q.”

A quadrilateral is a rectangle if and only if it is equiangular.