### Thinking about Algebra

Many ways problem

# Which is bigger? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

## Taking it further

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 $x$.