Question

Solve |2x - 5| = 4.

a. x = 0.5 or x = 4.5
b. 0.5 < x < 4.5
c. x

Answer 1

x = 4.5 x = .5
Explanation:
|2x - 5| = 4
The absolute value has two solutions one positive and one negative
2x-5 = 4 2x-5 = -4
Add 5 on each side
2x-5+5 = 4+5 2x-5+5 = -4+5
2x = 9 2x =1
Divide by 2
2x/2 =9/2 2x/2 = 1/2
x = 4.5 x = .5