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Rewrite of the Statement in the Form "P If and Only If Q". 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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Question

Rewrite of the  statement in the form "p if and only if q".

 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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Solution

The tumbler is half empty if and only if the tumbler is half full.

 
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Chapter 31: Mathematical reasoning - Exercise 31.5 [Page 21]

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R.D. Sharma Mathematics [English] Class 11
Chapter 31 Mathematical reasoning
Exercise 31.5 | Q 3.4 | Page 21

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