Showing inequality solutions on a number line
Use open and closed circles correctly for <, >, ≤ and ≥.
Key formulas
What this lesson covers
This lesson builds Secondary 2–3 skill in number line inequalities. Read the key formulas, study the worked example, then attempt the written practice and the four-question MCQ review.
Method
Write every step. Name the rule you use (number line inequalities) before substituting numbers. Keep units and signs visible until the final sentence.
Common mistakes
Students often rush the sign, use the wrong percentage base, or cancel terms instead of factors. Pause after each line and ask whether the step is reversible.
Exam habit
Underline the question verb (simplify, solve, factorise, find). Box the final answer and, where sensible, substitute back for a quick check.
Worked example
Worked example — number line inequalities
Problem. Apply the method for number line inequalities with the numbers 6 and 5.
Solution. Identify the rule for number line inequalities. Substitute 6 and 5 carefully with signs in brackets if needed. Complete each operation on a new line. State the final answer clearly and check by reversing one step.
Review quiz
1 / 4Warm-up on number line inequalities: what is 6+5?
Practice questions
- Practice 1 on number line inequalities: compute with the value 48.
- Practice 2 on number line inequalities: change the numbers and repeat the same method.
- Practice 3 on number line inequalities: write one sentence explaining the key rule.
- Practice 4 on number line inequalities: invent a similar exam-style question and solve it.
Study notes
What is the main idea of number line inequalities?
Apply the stated formula or rule with clear steps, then check by reversing or substituting.
How should I revise this topic?
Cover the worked example, redo the practice without notes, then complete the MCQ set and log any wrong options.