Interactive Coursebook (Online) of C13 Inequalities
C13 Inequalities
What’s on the Specification
| M4.17 | Solve linear inequalities in one or two variables. Represent the solution set on a number line, or on a graph, or in words. |
| MM1.5 | Solution of linear and quadratic inequalities. |
Learning Objectives
- Understand and apply the basic properties of inequalities.
- Solve linear inequalities in one and two variables, representing solutions appropriately.
- Solve polynomial inequalities (especially quadratic) using critical values, sign analysis, or graphical methods.
- Solve rational inequalities by converting to polynomial inequalities or using sign analysis, ensuring denominators are handled correctly.
- Solve irrational inequalities involving square roots, including checking for extraneous solutions and domain restrictions.
- Solve absolute value inequalities by considering cases, using definitions, or by squaring.
- Interpret solutions of inequalities graphically.
Suggested Time
| Task | No. of Questions | Suggested Time |
|---|---|---|
| Examples | 10 | 90 min |
| Quiz | 6 | 15 min |
| Practice A | 30 | 75 min |
| Practice B | 20 | 75 min |
| Total | 66 | approx. 4-5 hrs |
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