Many ways problem

1. Find a pair of algebraic fractions where one is biggest for $x<5$ and the other is biggest for $x>5$.
2. Find an algebraic fraction that is always bigger than $\frac{(x+2)^2}{5}$.
3. Find a set of three algebraic fractions so that the first is biggest for $x<0$, the second is biggest for $0< x<4$ and the third is biggest for $x>4$.
4. Find a set of three algebraic fractions where one is always biggest, regardless of $x$.