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Question

For some integer m, every integer is of the form
(a) m (b) m + 1 (c) 2m (d) 2m+ 1

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Solution

It is known that, even integers are ...,−4, −2, 0, 2, 4,...
Observe that, all of the even numbers are the multiple of 2.
So, even numbers can be written as 2m, where, m is an integer.
m can be ...,−2, −1, 0, 1, 2,...
∴ 2m can be ...,−4, −2, 0, 2, 4,...
Hence, the correct answer is option C.

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