Question

Solve |2x - 5| = 4.

x = 0.5 or x = 4.5
x
x

Answer 1

Decimal form: 4.05, 0.5
Exact form: 9/2, 1/2

Answer 2

9514 1404 393

Answer:

(x | x = 0.5 or x = 4.5}

Explanation:

The given equation resolves to two:

2x -5 = 4

2x = 9 . . . . . . add 5

x = 9/2 = 4.5 . . . . divide by 2

and ...

2x -5 = -4

2x = 1 . . . . . . add 5

x = 1/2 = 0.5 . . . . divide by 2

Then the solution set is ...

(x | x = 0.5 or x = 4.5} . . . . . . matches the first choice