Question

Solve |2x - 5| = 4. {x | x = 0.5 or x = 4.5} {x | 0.5 < x < 4.5} {x | x = -4.5 or x = 4.5} Solve |2x - 5| = 4.

Answer 1

Answer:

x = 4.5                            x = .5

Step-by-step 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