Answer:
[tex]x < 9[/tex]
Step-by-step explanation:
we have
[tex]\frac{2}{3}x+14-3x > -7[/tex]
Solve for x
Multiply by 3 both sides to remove the fraction
[tex]2x+42-9x > -21[/tex]
Combine like terms in the left side
[tex]42-7x > -21[/tex]
Subtract 42 both sides
[tex]-7x > -21-42[/tex]
[tex]-7x > -63[/tex]
Multiply by -1 both sides
[tex]7x < 63[/tex]
Divide by 7 both sides
[tex]x < 63/7[/tex]
[tex]x < 9[/tex]