# Math Help - Inequalitites

1. ## Inequalitites

Hey everybody, I have this inequality that I was wondering if I did right, so if anybody can verify for me please?

a) $\frac{3x-9}{x^2-1}\leq -1$

I got $(-\infty, -1)\bigcup(1,3)$ again if anybody can verify this?

Never mind I caught a mistake I forgot to get all the numbers to one side and make the inequality equal 0

2. That is not even close.
Solve the following.

$\dfrac{3x-9}{x^2-1}+1\le 0$

3. Okay, I corrected the error and now I got

$[-5,-1)\bigcup(1,2]$

is that right?

4. Yes that is correct.

5. Hey thanks.

6. Okay I really don't want to start another thread so I'll just keep this one but add new questions.

I am having trouble with this one.

A right circular cylinder is inscribed within a right circular cone with height 10in and radius of base 3 inches. Find:

A) The total surface area of the cylinder in terms of the radius of the cylinder.
Now I know the the equation of the surface area of cylinder is; $A=2\pi r^2+2\pi r h$ but I don't know how to make it in terms of the radius?

That is a rule of this forum.

8. Oh, okay.