Answer:
x>9
Explanation:
Remark
You have to watch this question when you divide by a minus. We should try to eliminate that possibility.
Equation
7 - 2/3 x < x - 8 Add 2/3 x to both sides
7 < x + 2/3 x - 8 Combine the like terms on the right.
7 < 1 2/3 x - 8 Add 8 to both sides
7 + 8 < 5/3 x Combine the left
15 < 5/3 x Multiply both sides by 3/5
15*3/5 < 5/3*3/5 x
9 < x
Since all the answers have the x on the left, we have to put this answer so that x is on the left. Be very careful. The big end of the arrow is towards the x. We have to make sure it stays that way.
x > 9
The answer is A