Question

Show that the following statement is true by the method of contrapositive
p : If is an integer and  is even then is also even

Medium

Solution

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: If is an integer and  is even then is also even.
Let : is an integer and  is even 
: is even
To prove that is true by contrapositive method we assume that is false and prove that is also false.
Let is not even
To prove that is false, it has to be proved that is not an integer or  is not even.
is not even implies that  is also not even.
Therefore statement is false.
Thus the given statement is true.

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Solution to Question ID 418292
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