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
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(i) p↔q: You watch television if and only if your mind is free. (ii) p↔q: You get an A grade if and only if you do all the homework regularly. (iii) p↔q: A quadrilateral is equiangular if and only if it is a rectangle.
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Q1
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.
View Solution
Q2
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
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(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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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.
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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 : 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 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.