This study notes covers Worked Example within Quadratic Inequalities for GCSE Mathematics. Revise Quadratic Inequalities in Algebra for GCSE Mathematics with 10 exam-style questions and 2 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 4 of 5 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 4 of 5
Practice
10 questions
Recall
2 flashcards
Worked Example
Solve: x² − 5x + 6 < 0
Step 1 Find roots
x² − 5x + 6 = 0
(x − 2)(x − 3) = 0
x = 2 or x = 3
Step 2 Sketch and identify
Positive x² = U-shaped parabola
Crosses x-axis at x = 2 and x = 3
Below x-axis (< 0) BETWEEN the roots
Step 3 Write solution
2 < x < 3
Keep building this topic
Read this section alongside the surrounding pages in Quadratic Inequalities. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Quadratic Inequalities
For a positive (U-shaped) parabola with roots at x = 2 and x = 5, the expression is negative (below the x-axis) for which values of x?
Explain what the solution set of x² + 2x + 5 > 0 is, justifying your answer using the discriminant.
Quick Recall Flashcards
10 questions on Quadratic Inequalities — practise free
Instant marking, adaptive difficulty, and 2 spaced repetition flashcards. Free until your GCSEs.
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