In order to solve quadratic inequalities, it is necessary that you know how to solve quadratic equations, see also Quadratic equations (abc-formula) and Quadratic equations (factorizing). An important quantity is the discriminant. Following a series of assignments in which these aspects are important.

1. Solve:

2. Solve:

3. Solve:

4. Solve:

5. Solve:

6. Solve:

7. Solve:

8. For which value(s) of does the following inequality hold:

9. For which value(s) of do the parabola:

and the line:

have no points in common?

10. For which value(s) of do the parabola:

and the line:

have no points in common?