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

Step-by-step explanation:

This is an absolute value equation.

Firstly we will remove absolute value:

Absolute value always gives the positive result. Hence to remove the absolute value we will take both positive and negative:

|x+4|=2

x+4=2

Move the constant value to the R. H. S

x=2-4

x = - 2

x+4 = - 2

Move 4 to the R. H. S

x = - 2 - 4

x = - 6

Therefore x = (-2, - 6) ...