Respuesta :

irspow
Since this is an absolute value expression you have to solve for both the positive and negative case.

x-2=6  add two to both sides

x=8

and

x-2=-6 add two to both sides

x=-4

So x=-4 and 8

So the solution on the number line is solid dots as x=-4 and x=8

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 :

[tex]|x-2| = 6[/tex]

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:

https://brainly.com/question/19450450

Ver imagen ahirohit963

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