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
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Respuesta :

Answer:

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

Step-by-step explanation:

we have

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

Solve for x

That means ----> Isolate the variable x

Multiply by 8 both sides to remove the fractions

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

Divide by 5 both sides

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

Multiply by -1 both sides

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