Question

3.

[02.03]

Solve for x: |x| − 8 = −5 (2 points)

x = −13 and x = −3

x = 3 and x = −3

x = 3 and x = 13

No solution

Answer 1

`x = 3`
`and`
`x = -3`

Explanation:

In this problem, we are substituting for x.

Let us take a look at our given answers.

x = -13 and x = -3 would not work because the numbers would not add up to -5. Since we have the positive brackets (or whatever you call them.) surrounding the x variable, that means that all numbers that are plugged into x will be positive.

-13 will be turned into 13,

13 - 8
`\\eq` -5

So that is wrong.

x = 3 and x = 3 would work because plugging it in, all outcomes from the two numbers would be negative.

3 - 8 = -5

`|-3|` - 8 = -5

True.

The third one won't work because of the same reasons as the first one.

Then, the last one would not work well because, there is a solution.