Question

Solve |x + 2| = 10
i got {-8, 8}?

Answer 1

One of those is right.

Answer 2

incorrect

Answer 3

Ok, so the trick to doing absolute values is this..

Solve for the absolute value part.

Answer 4

Here is a graph of this problem. You want to find all values of x such that the blue function is under the red function.

Answer 5

Then when you take off the absolute value, you get two different equations.

\[|a| = b \implies a = b \text{ OR } a=-b\]

Answer 6

In this case you have

\[|x + 2| = 10\]
Which means
\[x + 2 = 10\]OR
\[x+2 = -10\]

You have to solve both to find your solutions.