Integer solutions of inequalities
List integer solutions and find largest or smallest integers that work.
Key formulas
What this lesson covers
This lesson builds Secondary 2–3 skill in integer inequality solutions. 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 (integer inequality solutions) 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 — integer inequality solutions
Problem. Apply the method for integer inequality solutions with the numbers 7 and 6.
Solution. Identify the rule for integer inequality solutions. Substitute 7 and 6 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 integer inequality solutions: what is 7+6?
Practice questions
- Practice 1 on integer inequality solutions: compute with the value 49.
- Practice 2 on integer inequality solutions: change the numbers and repeat the same method.
- Practice 3 on integer inequality solutions: write one sentence explaining the key rule.
- Practice 4 on integer inequality solutions: invent a similar exam-style question and solve it.
Study notes
What is the main idea of integer inequality solutions?
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.