Equations and Inequalities · Semester 1

Simultaneous Linear Inequalities

Solving and representing compound linear inequalities involving 'and' or 'or'.

Key Questions

  1. Analyse how solving two linear inequalities simultaneously produces a solution set that can be expressed in combined notation (e.g., -2 < x ≤ 5).
  2. Evaluate how to represent the solution set of simultaneous linear inequalities accurately on a number line, including the correct use of open and closed endpoints.
  3. Construct a real-world scenario where a quantity must satisfy two linear constraints simultaneously, and express the valid range using combined inequality notation.

MOE Syllabus Outcomes

MOE: Numbers and Algebra - S3MOE: Equations and Inequalities - S3
Level: Secondary 3
Subject: Mathematics
Unit: Equations and Inequalities
Period: Semester 1

Suggested Methodologies

Collaborative Problem-Solving

Structured group problem-solving with defined roles

25–50 min

Learn more about Collaborative Problem-Solving

Think-Pair-Share

Individual reflection, then partner discussion, then class share-out

10–20 min

Learn more about Think-Pair-Share

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