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This topic solves linear and quadratic inequalities, representing solutions on number lines and in set or interval notation, using the graph or critical values for quadratics. It appears across A-Level and iAL Pure Maths with the major exam boards. Work through it free on eClassroom, with clear worked examples and instantly-marked questions that build your confidence for the exam.
How you do it
Solve the equation first to find the critical values, then decide which regions satisfy the inequality using a sketch or a sign table. Remember that multiplying or dividing by a negative flips the sign, and never multiply through by something that could be negative.
Before you start
Everything here rests on solving linear and quadratic equations. You meet it in Pure 1. Keep it sharp for regions and modulus inequalities.
What you learn
the origin, if it lies inside) in each inequality to check you have the direction right. The course works through linear inequalities, quadratic inequalities, A curve against a line or curve, reciprocal inequalities and defining a region. Every section has instant-feedback practice questions matched to Edexcel International A-Level and 9MA0 Pure, and the course finishes with full exam-style questions you mark yourself.
Related Topics
Inequalities is part of the Algebra strand of our free A-level maths courses, studied in the AS year. The course is built from 5 concept sections, 5 worked examples and 5 check points before the exam-style set. Nearby topics in the same strand are Modulus Function, Partial Fractions and Quadratic Functions & Discriminant. For unlimited practice, the Algebra revision engine builds new questions on demand and records your accuracy.
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