Question

can some one solve this

Ex 1:
-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
Check:
Try -8. It should work since it is less than -7.5
-2x+7>22
-2(-8)+7>22
16+7>22
23>22
It does make the inequality true so it looks as if I have solved correctly. So my solution is {x|x<-7.5} which is just a mathy notation way of saying "the set of all values for x such that x is less than -7.5.” This notation amplifies that this is a whole set of values that x can equal and not just one value.

Answer 1

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

x > -7.5