5x-7(x+1)>-9
Using distributive property:
5x-7x-7>-9
Add like terms:
(5x-7x)-7>-9
-2x-7>-9
Add 7 to both sides:
-2x-7+7>-9+7
-2x>-2
Multiply both sides by (-1):
"Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign"
2x<2
Divide both sides by 2:
2x/2<2
x<1
So, for the arrow, the answer is left.