4I - Solving quadratic inequations

Learning intentions:

In this section we will examine:

    • How to solve quadratic inequalities.

Solving quadratic inequations

When solving quadratic inequalities it is more complex than linear inequations. To solve quadratic inequalities use the following steps:

    1. Solve the quadratic inequality as a regular equation.
    2. Graph the quadratic.
    3. Determine which interval(s) satisfy the inequality from the graph.

4I - VIDEO EXAMPLE 1:

Solve the following quadratic inequality for x:

4I - VIDEO EXAMPLE 2:

Solve the following quadratic inequality for x:

4I - VIDEO EXAMPLE 3:

Find the values of x when the parabola y = x2 + 2x - 5 is less than the line y = 3x + 15.

Success criteria:

You will be successful if you can:

    1. Solve a quadratic inequality.
    2. State the solution to an inequality in correct interval or set notation.