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Rewrite each of the following statements...

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.

Text Solution

AI Generated Solution

To rewrite the given statements in the form "p if and only if q", we need to identify the two parts of each statement and express them in a bidirectional conditional format. Let's break down each statement step by step. ### Solution: **(i)** - Original Statement: "If you watch television, then your mind is free and if your mind is free, then you watch television." - Let p be "You watch television" and q be "Your mind is free." - We can express this as: ...
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