Exercises · Q22
Q.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.
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Start your 14-day free trial to unlock the full solution →- "If you watch television, then your mind is free and if your mind is free, then you watch television." This gives both p ⇒ q and q ⇒ p, where p: "you watch television", q: "your mind is free". → "You watch television if and only if your mind is free."
- "For you to get an A grade, it is necessary and sufficient that you do all the homework regularly." "Necessary and sufficient" directly signals a biconditional: p: "you get an A grade", q: "you do all the homework regularly". → "You get an A grade if and only if you do all the homework regularly." …
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