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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:
- Solve the quadratic inequality as a regular equation.
- Graph the quadratic.
- 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:
- Solve a quadratic inequality.
- State the solution to an inequality in correct interval or set notation.
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