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

Answer:

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

Step-by-step 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