# A math problem is driving me nuts!

I took a picture of an example from the math text I am reading. This is in the introductory section that is demonstrating how to solve inequalities.

I think there might be an error in his work, but when I plug the original inequality and the suspect one into the Graphing Calculator (the one that comes with Mac OS 9), I get the same result. So I'm not sure if this is a coincidence or if he really did do it right.

What I don't understand is how he made `x(x+5)/x+1 > 3`

into `(x`

. If you expand ^{2}+2x-3)/x+1 > 0`x(x+5)`

, you get `x`

, so I don't see how he ended up with only ^{2}+5x`2x`

in the numerator on the left hand side of the inequality instead of `5x`

.

It looks to me like it should be `((x`

instead. Can somebody please confirm this or explain how you might get from what I got to, to what he got to?^{2}+5x)/(x+1))-3 > 0

Thanks!