Question

Which of the following is the solution set to the inequality −25x+14>20?

Select one:
A. x < -64
B. x > -64
C. x < -15
D. x > -15

Answer 1

Option C.
`x < -15`

Explanation:

The correct inequality is

`-(2)/(5)x+14 >20`

Solve for x

subtract 14 both sides

`-(2)/(5)x+14-14 >20-14`

`-(2)/(5)x >6`

Multiply by -1 both sides

`(2)/(5)x < -6`

Multiply by 5/2 both sides

`x < -6((5)/(2))`

`x < -15`