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

Answer:

I) p: watch television

q: your mind is free

p iff and only if Q

you watch television if and only if mind is is free

ii) q: For you to get an A grade,

p: do all the homework regularly

p iff and only if Q

For you to get an A grade if and only if

you do all the homework regularly.

(iii) r: If a quadrilateral is equiangular,

Q; it is a rectangle

p if and only if Q

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