Question

Solve for x: |x| − 8 = −5

x = −13 and x = −3
x = 3 and x = −3
x = 3 and x = 13
No solution

im thinking it might be A but not sure

Answer 1

\(|x|=a\implies x=a\) or \(x=-a\)

Answer 2

Second choice, get the absolute value alone on one side and then set to positive and negative.

Answer 3

im lost?

Answer 4

Here is an example

\(|x|+13=26\)

First we need to get the \(|x|\) by itself on one side of the equals sign.

\(|x|=13\)

Noe we are done, because once we get it on one side. The solution is just the positive and negative version of the number on the other side.

So \(x=13\) and \(x=-13\).

Answer 5

ok but what happens to the 26 ?

Answer 6

add 8 to both sides. |x|−8+8=−5+8
|x|=3
Than solve the absolute value.
|x|=3
We know eitherx=3 or x=−3
so you probably shpould get two possabilities ;)

Answer 7

Thanks @thesmartone lol

Answer 8

for what? :P