Answer:
Option C. [tex]x < -15[/tex]
Step-by-step explanation:
The correct inequality is
[tex]-\frac{2}{5}x+14 >20[/tex]
Solve for x
subtract 14 both sides
[tex]-\frac{2}{5}x+14-14 >20-14[/tex]
[tex]-\frac{2}{5}x >6[/tex]
Multiply by -1 both sides
[tex]\frac{2}{5}x < -6[/tex]
Multiply by 5/2 both sides
[tex]x < -6(\frac{5}{2})[/tex]
[tex]x < -15[/tex]
