For a real number x, find the number of different possible values of $\frac{|x|}{|-x|} + \frac{|-x|}{|x|}$.

Guest Apr 26, 2021

#1**+3 **

Although this answer may be partially incorrect, I feel like it could help you maybe see what you have to do.

**My answer is 1.**

The reason for this answer is that the absolute value of **x **will always be **x** and the absolute value of **-x **will always be **x**.

So:

**|x| = x**

**|-x| = x**

Now, because all four numbers in the equation will therefore have to be equal to x, the two equations actually make:

**(x / x) + (x / x)**

Because any real number divided by itself is equal to **1**, we now have:

**1 + 1 = 2**

So the answer to this equation will always be 2, therefore there is only **1 possible value for the equation.**

NotGuest Apr 26, 2021