Solve for x: |x − 2| + 10 = 12
x = 0 and x = 4
x = −4 and x = 0
x = −20 and x = 4
no solution

Option A is correct.

Values of x :

x = 0 and x  =4

Step-by-step explanation:

Absolute function states that contains an algebraic expression within absolute value symbols i,e

Given that:              .....[1]

solve for x;

Subtract 10 from both sides in equation [1] we get;

Simplify:

By definition of Absolute;

(x-2) = 2 and -(x-2) = 2

or

x-2 =2   and x -2 = -2

we have;

x = 2+2  and  x= -2+2

x = 4   and x = 0

Therefore, the value of x are 4 and 0.

pooopoopopoopop

step-by-step explanati∵∵∴∴on: