Question

Solve the following absolute value equation

Answer 1

Given Equation:

`|x-8|+1 = 11`

Move 1 to the right side:

`|x-8| = 10`

Apply absolute rule: if |w| = a, a > 0 then w = a OR w = - a

`x-8 = -10` OR
`x-8 = 10`

Add 8 to both sides.

`x=-2` OR
`x = 18`

Answer 2

`|x - 8| + 1 = 11`

`|x - 8| = 10`

x - 8 = 10 or x - 8 = -10

x = 18 or x = -2