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

Respuesta :

Answer:

Option C. [tex]x < -\frac{14}{5}y[/tex]

Step-by-step explanation:

we have

[tex]-\frac{5x}{8} > \frac{14y}{8}[/tex]

Solve for x

That means ---> isolate the variable x

Multiply by 8 both sides to remove the fractions

[tex]-5x>14y[/tex]

Multiply by -1 both sides

Remember that

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

[tex]5x<-14y[/tex]

Divide by 5 both sides

[tex]x < -\frac{14}{5}y[/tex]

Answer:

C

Step-by-step explanation:

Because it just is