Posted by **Anonymous** on Wednesday, September 22, 2010 at 11:06pm.

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.

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