Question

Which number line represents the solutions to |x + 4| = 2?

Answer 1

|x + 4| = 2
so it means 2 different eqns

x + 4 = 2 or x + 4 = -2

x = -2 or -6

so ans is the 1st pic

Answer 2

First picture , x=-6 and x=-2

Explanation:

1. The idea is isolate x, hence we need to get rid of the +4 and the absolute value from the left side. To get rid of the absolute value, we need to set the right side as positive and negative.

`x+4= +2    \\\\x+4=-2`

2. Once we get rid of the absolute value, from each equation we solve for x. In the first equation we subtract 4 from both sides:

`x=2-4\\x=-2`

3. From the second equation, we subtract 4 from both sides

`x=-2-4\\x=-6`

In conclusion, we get two solutions that meet the initial equality