Answer:
Option C.
![x < -(14)/(5)y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lp2gylgtvrtpu7xnufc26a7ay40nj51en5.png)
Explanation:
we have
![-(5x)/(8) > (14y)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dziasn7p2yu4ejdti6ij6hbxvvohhaj9ub.png)
Solve for x
That means ---> isolate the variable x
Multiply by 8 both sides to remove the fractions
![-5x>14y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rat7bmv8o4919b3cfv8xalyoxsyp7j4tf0.png)
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
![5x<-14y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/krvxe0ro0aiyf3ed3mqf95gjge9jb38hz5.png)
Divide by 5 both sides
![x < -(14)/(5)y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lp2gylgtvrtpu7xnufc26a7ay40nj51en5.png)