Math Help - Solve equation (link provided)

1. Solve equation (link provided)

http://i43.tinypic.com/34rhbpl.png
I've tried to solve it, but here's my answer, not sure if it's right. . .[-infinite,1) U (4, infinite )..

2. Re: Solve equation (link provided)

$\frac{x+1}{x-4} \ge 0$

see the video ...

3. Re: Solve equation (link provided)

The answer is (-infinite, -1) U [4, infinite) ?

4. Re: Solve equation (link provided)

Originally Posted by HellBunny
The answer is (-infinite, -1) U [4, infinite) ?
almost ...

$(-\infty,-1] \cup (4,\infty)$

5. Re: Solve equation (link provided)

Plugged 2, 5, and 8. 2=False, 5 = True, 8 = False.
Answer:
Code:
[3,7)
correct?

6. Re: Solve equation (link provided)

Correct interval but have to indicate that 3 is included but not 7

7. Re: Solve equation (link provided)

Ah, thanks. Hey, another question.. how do I solve this? $125^{2}{3}$ the 2/3 is an exponent.

8. Re: Solve equation (link provided)

Originally Posted by HellBunny
Ah, thanks. Hey, another question.. how do I solve this? $125^{2}{3}$ the 2/3 is an exponent.
\displaystyle \begin{align*} 125^{\frac{2}{3}} &= \left(125^{\frac{1}{3}}\right)^2 \\ &= \left(\sqrt[3]{125}\right)^2 \\ &= 5^2 \\ &= 25 \end{align*}