Question

Which number line represents the solution to
|X +4|=2

Answer 1

the first number line is the answer.
|X+4|=2
2 solutions:

X+4=2 X+4= -2
-4 -4 -4 -4
X= -2 X= -6

Answer 2

Answer: Option 1 .

Explanation:

The given absolute value equation is l x+4 l=2.

Solving the absolute value equation we have:

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

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

x=-2. or x=-6.

Check the answer:

x=-2

l -2+4 l =l 2 l =2.True.

x=-6

l x+4 l = l -6+4 l=l -2 l = 2. True.

The solutions are x=-2,-6.

These solution is represented by the first graph.