CBSE BoardEnglish MediumSTD 11 ScienceMathsMathematical Reasoning2 Marks
Question
Using contrapositive method prove that if n $2$ is an even integer, then n is also an even integers.
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Answer
Let $p: n^2$ is an even integer.
$q: n$ is also an even integer.
Let $~p$ is true i.e., n is not an even integer.
$\Rightarrow n^2$ is not an even integer. $[$Since square of an odd integer is odd$]$
$\Rightarrow ~p$ is true.
Therefore, $~q$ is true which provides that $~p$ is true.
Hence proved.
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