Question

Which of the following correctly expresses all values of x if lx - 2| = 1?

(A) x = -1, x = -2
(B) x = 1, x=-1
(C) x = -1, x = 0
(D) x = 1, x = 2
(E) x = 1, x = 3

Answer 1

(E) x = 1, x = 3

Explanation:

|x-2| = +- 1

x-2 = 1

x = 3

x-2 = -1

x = 1