Question

Easy question.

Answer 1

Answer:   x/3

Explanation:

The absolute value equation can be written piecewise like this

$|x| = \begin{cases}x , \ \text{ if } x \ge 0\\-x , \ \text{ if } x < 0\end{cases}$

That is the same as saying

• If $x \ge 0$, then $|x| = x$
• If $x < 0$, then $|x| = -x$

Let's have y = x/3

If x = 0, then y = 0/3 = 0

So to compute |y|, we'll use the first rule mentioned above.

Therefore, $\left|\frac{x}{3}\right| = \frac{x}{3} , \text{ when } x = 0$

I think your teacher wants you to avoid replacing x with 0. Though it's probably better to ask just to make sure.