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masha68 [24]
2 years ago
15

Easy question.

Mathematics
1 answer:
Dvinal [7]2 years ago
8 0
<h3>Answer:   x/3</h3>

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.

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