Algebra

CoreMaths revision

Linear Inequalities

Solve and represent inequalities while understanding why multiplying by a negative reverses order.

Open calculator

Focus points

✓Solve one-variable inequalities.

✓Represent solution sets.

✓Handle sign reversals correctly.

orin

Orin

The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions

Question 1FluencyCore

Original practice · Free Online Revision

Skill · linear inequality

Solve 4x − 7 < 13.

Question 2FluencyCore

Original practice · Free Online Revision

Skill · negative coefficient

Solve 9 − 3x ≥ 21.

Question 3FluencyCore

Original practice · Free Online Revision

Skill · bracketed inequality

Solve 2(3x−1) < 5x+7.

Question 4FluencyCore

Original practice · Free Online Revision

Skill · compound inequality

Solve −2 ≤ 3x+4 < 10.

Question 5FluencyCore

Original practice · Free Online Revision

Skill · representation

Write x > −3 on a number line in words.

Question 6ApplicationCore

Original practice · Free Online Revision

Skill · inequality application

A cinema ticket costs $12 and you have at most $70 including a fixed $10 transport cost. What is the greatest number of tickets you can buy?

Question 7ReasoningCore

Original practice · Free Online Revision

Skill · inequality reasoning

Explain why dividing −6x > 12 by −6 gives x < −2.

Question 8ChallengeStretch

Original practice · Free Online Revision

Skill · integer solutions

Find all integer x satisfying −4 < (2x−1)/3 ≤ 5.