📐 KSSM · Form 3 · Age 15

Linear inequalities

125 exam-format practice questions · Mathematics, Form 3 · Free to start

Lesson overview

This lesson focuses on solving linear inequalities involving one variable, a core component of the Form 3 Mathematics syllabus. Students will learn to interpret and use inequality symbols such as greater than or equal to. They will practice formulating linear inequalities from given word problems and applying the fundamental rules for manipulating these expressions. A key skill is understanding how multiplying or dividing by negative numbers reverses the inequality sign. Additionally, learners will graph solutions on a number line and determine solution sets that satisfy simultaneous conditions. This builds a strong foundation for algebraic reasoning and prepares students for more complex mathematical structures in higher forms. Examiners often note that students incorrectly reverse the inequality symbol when dividing by negative values or fail to include boundary points when using inclusive symbols like greater than or equal to. Many also struggle with representing compound inequalities accurately on graphs. Mastering these concepts helps students develop logical thinking and precision in handling constraints. It enables them to model real-world scenarios where limits exist, such as budgeting or resource allocation. By avoiding common pitfalls, students can secure marks in problem-solving questions and build confidence in their ability to handle abstract mathematical relationships effectively.

Try these questions

Q1. Which of the following is a linear inequality in one variable?

A.2x + 3y > 5

B.x² - 4 ≤ 0

C.3x - 7 ≥ 2

D.xy < 6

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Q2. Solve the inequality: 4x + 5 > 13.

A.x > 2

B.x < 2

C.x > 4.5

D.x < 4.5

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Q3. Which number line represents the solution set of x ≥ -1?

A.A number line with a closed circle at -1 and shading to the right

B.A number line with an open circle at -1 and shading to the right

C.A number line with a closed circle at -1 and shading to the left

D.A number line with an open circle at -1 and shading to the left

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More Mathematics · Form 3

Indices and standard form Quadratic expressions Coordinates and graphs Gradient and equation of a line Transformations (translation, reflection, rotation)Volume of solids Probability Statistics (mean, median, mode)Financial mathematics (interest, taxation)