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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. (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 a tumbler is half empty, then it is half full, and if a tumbler is half full, then it is half empty. |
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Answer» (i) You watch television if and only if your mind is free. (ii) A quadrilateral is a rectangle if and only if it is equiangular. (iii) You get an A grade if and only if you do all the homework regularly. (iv) A tumbler is half empty if and only if it is half full. |
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