Please solve

-2x+7>22
-2x+7-7>22-7
-2x>15
-2x/(-2)<15/(-2) Switching the order of the inequality here is essential to keep the solutions true for the inequality since I divided by a negative #.
x<-7.5

Again, you forgot to reverse the carat, when dividing by -2.

x > -7.5

To solve the inequality -2x + 7 > 22, we need to isolate the variable x.

1. Start by subtracting 7 from both sides of the inequality:
-2x + 7 - 7 > 22 - 7
-2x > 15

2. Next, divide both sides of the inequality by -2.
Remember that when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign should be reversed.
-2x / -2 < 15 / -2
x < -7.5

So, the solution to the inequality -2x + 7 > 22 is x < -7.5. This means that any value of x that is less than -7.5 will satisfy the inequality.