Which number line represents the solutions to |x – 2| = 6?

The expression is a modulus function and by applying the condition of modulus function the value of x are -4 and 8. The correct image is given by option b).

Given :

Number line representation can be determine by further simplification of above equation:

When, x - 2 > 0 that is, x > 2

x - 2 = 6

x = 8

Now, when  - x + 2 > 0 that is, x < 2

-x + 2 = 6

x = -4

Therefore, the number line that represent the given expression is attached below.

For more information, refer the link given below:

link

step-by-step explanation:

bob the banana