Topic explanation

Standard explanation

Each inequality defines a half-plane, and their common shaded region is the solution set.

Key points

• systems of linear inequalities
• understand the idea
• apply it carefully
• keep the ideas separate
• Systems Of Linear Inequalities: Each inequality defines a half-plane, and their common shaded region is the solution set.
• WHAT — SYSTEMS OF LINEAR INEQUALITIES: Each inequality defines a half-plane, and their common shaded region is the solution set.
• HOW — Use the idea: Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check
• CORE UNDERSTANDING: Each inequality defines a half-plane, and their common shaded region is the solution set.

Labelled diagram