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This topic solves linear inequalities, represents solutions on a number line and with set notation, and shows regions defined by inequalities on a graph. It's examined right across GCSE and iGCSE Maths. 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 exactly as you would an equation, with one exception: multiplying or dividing by a negative flips the inequality sign. Show the answer on a number line with an open circle for a strict inequality and a filled one where the value is included.
Before you start
Assumed knowledge: solving linear and quadratic equations. Assessed at Foundation and Higher tier. This is the foundation for regions and modulus inequalities.
What you learn
An inequality compares two amounts that are not necessarily equal, using the symbols, ≤ and ≥. We can show an inequality on a number line and solve linear inequalities much like equations. On a number line an open circle means, and a filled circle means ≤ or ≥. Treat it like an equation; the only special rule (multiplying or dividing by a negative flips the sign) is rare at this level. Often we want the integers (whole numbers) that satisfy an inequality, or the smallest/largest such integer. The course works through notation and the number line, solving inequalities and integer solutions. Every section has instant-feedback practice questions matched to Edexcel iGCSE 4MA1 and the other major GCSE boards, and the course finishes with full exam-style questions you mark yourself.
Related Topics
Inequalities is part of the Algebra strand of our free GCSE maths courses, studied in Foundation tier. It runs to 3 concepts, each followed by a check, with 2 worked examples along the way. Students often pair it with Linear Equations, Linear Graphs, Quadratic Equations and Quadratic Inequalities. For unlimited practice, the Algebra revision engine builds new questions on demand and records your accuracy.
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