Topic explanation
Solving linear and quadratic inequalities in one variable.
Key formulas & rules
- Expanding: single bracket, double brackets, watch signs on every term
- Factorising: HCF first, then pairs/quadratics; difference of two squares a² − b²
- Rearranging: inverse operations in reverse order; keep equality balanced
Common mistakes
- Arithmetic and sign errors when simplifying expressions involving quadratic inequalities.
- Not answering in the required form (fraction vs decimal, surd vs rounded).
- Missing a final sentence that interprets the result in context when the question is applied.
Exam tips
- Underline key words in the question: “exact”, “integer”, “give reasons”.
- Estimate or use inverse operations to sanity-check answers when a calculator is allowed.
- Use StudyVector practice filtered to “Inequalities” to drill exam-style questions on this skill.
Practice questions
Exam-style questions aligned to your board. Open full practice for worked feedback and your next best question.
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