AlgebraKey Facts

Key Patterns

Part of Quadratic InequalitiesGCSE Mathematics

This key facts covers Key Patterns 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 3 of 4 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 4

Practice

10 questions

Recall

2 flashcards

Key Patterns

For a positive parabola (∪ shape) with roots at a and b (where a < b):

Inequality Solution Region
y > 0 x < a OR x > b Outside the roots
y < 0 a < x < b Between the roots

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?

  • A. x < 2 or x > 5
  • B. 2 < x < 5
  • C. x < 2 and x > 5
  • D. All values of x
1 markfoundation

Explain what the solution set of x² + 2x + 5 > 0 is, justifying your answer using the discriminant.

2 marksstandard

Quick Recall Flashcards

Quadratic Inequalities
Sketch graph, identify where curve is above/below x-axis
Quadratic Inequality Pattern
For U-shape: > 0 = outside roots (x < a or x > b), < 0 = between roots (a < x < b)

10 questions on Quadratic Inequalities — practise free

Instant marking, adaptive difficulty, and 2 spaced repetition flashcards. Free until your GCSEs.

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