(Algebraic Inequalities) Can somebody show me the first step to these 3 equations?

Hello, I'm absolutely stuck. :S My teacher gave me these 'challenge' problems and I have no idea how to get started. Can somebody explain how to start each equation? (Not solving it would be okay. I would love to get the answer...just don't know how to start it(Worried)(Worried)).

1.

$\displaystyle {{(x-1)(x-2)(x-3)}\over{(x+1)(x+2)(x+3)}}>1$

2.

$\displaystyle a^4+a^3-a-1<0$

3.

$\displaystyle x^6-9x^3+8>0$

Thank you sooo much!

Nate