Review question

# When are these quadratic inequalities true together? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9989

## Suggestion

The inequalities $x^2 + 3x + 2 > 0$ and $x^2 + x < 2$ are met by all $x$ in the region:

1. $x < -2$;

2. $-1 < x < 1$;

3. $x > -1$;

4. $x > -2$.

Can we write the quadratic expressions in a more useful form?

What would the inequalities look like on a graph?