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This topic solves quadratic inequalities by finding the critical values and using a sketch of the parabola to identify the region that satisfies the inequality. 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 the equation first to find the critical values, then sketch the parabola. If the expression must be positive, take the regions outside the roots; if negative, the region between them. The sketch is what stops you writing the wrong region.
Before you start
Everything here rests on solving quadratics and inequality notation. Assessed at Higher tier. Later work on regions and A-Level inequality work assumes it.
What you learn
A quadratic inequality such as x² − x − 6 0 asks for the values of x that make the expression positive (or negative). The course works through roots and the sketch, choosing the region and reading and listing 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
Quadratic Inequalities is a Algebra topic in the GCSE syllabus, covered here at Higher tier. The course is built from 3 concept sections, 2 worked examples and 3 check points before the exam-style set. Nearby topics in the same strand are Rearranging Formulae, Sequences and Simplifying Expressions. Endless extra practice on this strand is available on the Algebra revision engine, which generates a fresh question each time.
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