1.2 Linear Inequalities

Analyze and solve linear inequalities, including compound inequalities and solution sets.

本节包含的知识点

• 1.2.1 Single Linear Inequalities — Solve and analyze single linear inequalities in one variable, including properties of inequality operations and solution representation.
• 1.2.2 Compound Inequalities — Solve compound inequalities using 'and' and 'or' connectives, including intersection and union of solution sets.
• 1.2.3 Graphical Representation of Inequalities — Represent linear inequality solutions on number lines and coordinate planes using open/closed intervals and shading.
• 1.2.4 Absolute Value Inequalities — Solve inequalities involving absolute values and interpret their geometric meaning on the number line.
• 1.2.5 Solution Sets and Interval Notation — Express inequality solutions using interval notation, set-builder notation, and identify empty sets or all real numbers.