Every positive even integer can be written in | vedclass

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(B) The statement is $False$. Every positive even integer is of the form $2n$,where $n$ is an integer. While it is true that some even integers can be

Vedclass · Accepted Answer

False

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(B) The statement is $False$. Every positive even integer is of the form $2n$,where $n$ is an integer. While it is true that some even integers can be written as $4q + 2$ (where $q$ is an integer),not all even integers follow this form. For example,the integer $2$ can be written as $4(0) + 2$,but the integer $4$ cannot be expressed in the form $4q + 2$ for any integer $q$,as $4q + 2 = 4 \implies 4q = 2 \implies q = 0.5$,which is not an integer.

Every positive even integer can be written in the form $4q + 2$.

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