True / False

The difference between an integer and its additive inverse is always even.

ATrue
Correct Answer
BFalse

Solution

Let $$x$$ be the integer.
Thus, $$-x$$ is the additive inverse of integer $$x$$

Now, Difference of integers and its inverse $$= x - (-x)$$
$$= 2x$$.
Since, $$2x$$ is always an even integer.

$$\therefore$$ $$\textbf{The given statement is True}$$

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