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  • Using contrapositive method prove that if n2 is an even integer, then n is also an even integers.

Using the contra positive method prove that if n2 is an even integer, then n is also an even integer.

Answers (1)

Let us consider that,

p: n2 is an even integer

-p: n is not an even integer

Q: n is also an even integer

-q: n is not an even integer.

A conditional statement is said to be logically equivalent to its contrapositive.

Thus, -q\rightarrow -p=If n is not an even integer, then n^{2} is not an even integer.

Thus, -q\; and\; \rightarrow -p are true.

Posted by

infoexpert23

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