Question

Which of the following represents the inequality shown below when solved for x?−5x/8 >14y/8

A. x>y
B. x<7/8y
C. x<−14/5y
D. x>−5/8y
Show steps

Answer 1

Option C.
`x < -(14)/(5)y`

Explanation:

we have

`-(5)/(8)x > (14)/(8)y`

Solve for x

That means ----> Isolate the variable x

Multiply by 8 both sides to remove the fractions

`-5x > 14y`

Divide by 5 both sides

`-x > (14)/(5)y`

Multiply by -1 both sides

`x < -(14)/(5)y`