Linear Inequalities is usually met around Secondary 2 — though schools sequence topics differently — and is covered in Odyssey Math Tuition’s online math course for that level, with recorded video lessons, a question bank, topical practice and a topical test. Most marks lost here come from execution errors rather than misunderstanding, which is why targeted practice works.
What linear inequalities actually asks of a student
An inequality states that one expression is larger or smaller than another rather than equal to it. Solving one is much like solving an equation, with one critical exception.
That exception is the whole topic: multiplying or dividing both sides by a negative number reverses the inequality sign. Students who know this still forget it under pressure, which is why it deserves specific drilling rather than a passing mention.
What the topic assumes you already have
Most difficulty in this topic is not caused by the topic itself. It is caused by something earlier that never became fluent. Check these first:
- Solving linear equations fluently
- Confident work with negative numbers
- Representing solutions on a number line
- Understanding of integer versus real solutions
If any of these is shaky, repair it before going further. Working on new material while a prerequisite is unstable is how students spend hours and move nothing.
Where marks are actually lost
- Failing to reverse the sign when dividing by a negative
- Giving a solution as an equality rather than a range
- Listing integer solutions when the range was asked for, or the reverse
- Errors representing open and closed endpoints on a number line
- Solving a double inequality by operating on only one part
Most of these are execution errors rather than gaps in understanding, which is encouraging: they respond to practice and to keeping a written record of the mistakes you personally repeat.
A revision approach that works
- Circle the step where you divide or multiply by a negative, every time, and check the sign flipped.
- Sketch every solution on a number line, even when not asked.
- Practise double inequalities separately; they need both parts treated together.
- Check one value from inside the solution range by substitution.
How the Secondary 2 course covers it
In the Secondary 2 online course this topic follows the same shape as every other: a recorded explanation, a question bank with answers worked through rather than printed, topical practice, and a topical test. Lessons are recorded personally by our founder, Mr. Justin Tan, and the course follows our own curriculum, aligned to the MOE syllabus.
The courses also include past-year school examination papers with worked answers, which shows how a topic is actually examined rather than how it is taught. Access is 24 hours a day with unlimited replays, and every online course carries a 7-day money-back guarantee.
Where this sits in the wider syllabus
For the year as a whole, see our guide to this stage. For the subject in context, this guide and this one cover what comes before and after.
Syllabus details follow Ministry of Education and SEAB published documents. Course details and prices are as published at the time of writing — check the course pages for current information. We do not promise grades.
Read next
Related reading on studying maths online: Quadratic Equations and Graphs: A Secondary 2 Revision Guide, Trigonometric Ratios: A Secondary 2 Revision Guide, Congruence and Similarity: A Secondary 2 Revision Guide, Unlimited Replays: The Most Underrated Part of an Online Math Course, The Normal Distribution in H2 Mathematics: A JC2 Guide. On choosing a school at this stage, see our list of secondary schools in Singapore.
Frequently asked questions
What does linear inequalities cover at Secondary 2?
An inequality states that one expression is larger or smaller than another rather than equal to it. Solving one is much like solving an equation, with one critical exception.…
What should my child revise before this topic?
The prerequisites listed above. Most difficulty traces back to an earlier skill that never became fluent rather than to the topic itself.
Where do students lose the most marks?
Almost always in execution rather than understanding — sign errors, answering a different question from the one asked, or skipping the sketch.
Is this topic in the online course?
Yes. It is covered in the Secondary 2 online math course with video lessons, a question bank, topical practice and a topical test.
Can we access just this topic?
Yes. The courses are self-paced and non-linear, so a student can go straight to one topic without working through the rest.
Is there a trial period?
All online courses carry a 7-day money-back guarantee. The terms and conditions set out how it works.
Last reviewed July 2026. Syllabus details follow the Ministry of Education and SEAB published documents.
