Learning pack · Foundation · CIE Core

Inequalities

What's in this pack: printable worksheet PDF, matching answers PDF (Foundation · CIE Core depth). Inequalities use $<,>,\le,\ge$ . Solving mirrors equations, except multiplying/dividing by a negative reverses the sign.

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

Jump straight to the printable files, or scroll to the summary and videos.

Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

📝 Open Learning Sheet ✅ Open answers 🎬 More topic videos (6)📖 Full summary

Files: foundation-28 Inequalities handout.pdf · foundation-28 Inequalities handout answers.pdf

Full topic summary

Inequalities use $<,>,\le,\ge$ . Solving mirrors equations, except multiplying/dividing by a negative reverses the sign.

Key learning points

Represent on a number line: open circle for $<$ / $\gt$ , filled for $\le$ / $\ge$ .
Reverse the inequality when multiplying or dividing by a negative.
Integer solutions: list values that satisfy the inequality.

Worked example 1 — Solve and reverse

Solve $-2x>6$ .

Working

x<-3

Dividing by a negative reverses the inequality.

Worked example 2 — Number line

Describe $x\ge2$ on a number line.

Working

\text{closed circle at 2, arrow right}

Filled circle means included.

Worked example 3 — Both sides

Solve $3x-1\le 2x+5$ .

Working

x\le6

Collect like terms.

🎬 Topic videos

Math Antics - Basic Inequalities
Math Antics · 13 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Algebra Basics: Inequalities In Algebra - Math Antics
Math Antics · 14 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Ratio problem with basic algebra | Linear equations and inequalities | Algebra Basics | Khan Academy
Khan Academy · 5 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Solving Inequalities - GCSE Maths
1st Class Maths · 9 min
Useful across Lower Secondary and early IGCSE. Keep LS board tag; exam boards retained for dual-use.
Year 7 Test Review (1 of 2: Maths Series, Algebraic equations, inequalities, division and angles)
Eddie Woo · 8 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Algebra: Solving Inequalities
Khan Academy · 6 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

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Browse the hub Learning Packs & Summary, or open the compact Inequalities summary.