Question

-18 < x - 23 and x- 16 < -22
show work and explain please ! :)

Answer 1

-18 < x - 2

The goal is to get x by itself... and as we can see that the -2 is by the x... well lets move that to the other side. To do this we must do the opposite operation... the inverse

-18 < x - 2
+2 +2
-----------
-16 < x

Answer 2

Do you understand that one?

Answer 3

Merp well the question wasn't asking for each individual equation... it's a compound inequality >.< Can you still help with that?

Answer 4

I'm having trouble figuring out how to graph the solution.. it's not making sense for this specific problem

Answer 5

Well lets solve the 2nd one. Get x by itself doing the inverse operation...

x- 16 < -22
+16 +16
-------------
x < -6

Answer 6

So now we have...

Answer 7

-16< x < -6

Answer 8

So this reads...
x is less than -6
and
x is greater than -16

Answer 9

Can you graph them separately first?