Question

Which values are in the solution set I x-4 I =8?

Answer 1

`|x-4|=8\iff x-4=8\ \vee\ x-4=-8\qquad\text{add 4 to both sides}\\\\\boxed{x=12\ \vee\ x=-4}`

Answer 2

x = 12 and x = -4

Explanation:

abs (x-4) = 8

When we have absolute value equations, we get two solutions, one positive and one negative

x-4 = 8 and x-4 = -8

Add 4 to both sides

x-4+4 = 8+4 x-4+4=-8+4

x = 12 and x = -4