Rewrite each of the following statement 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 : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a you rectangle, then it is equiangular.

(iii) r : For you to get an A grade, it is necessary and sufficient that you do all the homework you regularly.

(iv) s : If atumbler is half empty, then it is half full and if a tumbler is half full, then it is ha;f empty.

Open in App

Solution

(i) You watch television if and only if your mind is free.

(ii) A quadrilateral is a rectagle if and only if it is equiangular.

(iii) You get an A grade if and only if you do all homework regularly.

(iv) A tumbler is half empty if and only if it is half full.

Suggest Corrections

Similar questions

Rewrite 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.

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.

Write each of the following using if and only if.

(i) In order to get A grade, it is necessary and sufficient that you do all the homework regularly.

(ii) If you watch television then your mind is free and if your mind is free then you watch television.

Join BYJU'S Learning Program