C07 Inequalities
对应大纲的内容
| 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. |
学习目标
- 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.
建议时间
| Task | No. of Questions | Suggested Time |
|---|---|---|
| Examples | 6 | 90 min |
| Quiz | 6 | 15 min |
| Practice A | 35 | 60 min |
| Practice B | 30 | 75 min |
| Total | 77 | approx. 4-5 hrs |
