Question

Solve the absolute value equation. |X-2|+4=9

Answer 1

Answer:

$x=7\text{ or } x=-3$

Step-by-step explanation:

So we have the equation:

$|x-2|+4=9$

First, subtract 4 from both sides:

$|x-2|=5$

Definition of Absolute Value:

$x-2=5\text{ or } x-2=-5$

Add 2 to both sides for both equations:

$x=7\text{ or } x=-3$

And we're done!