What you need to know
Check yourself against these “I can” statements.
- I can solve quadratic inequalities
- I can write the solution to an inequality using set notation
Practise this topic
4 resourcesDrawing Inequality Regions
Show the region for two or three inequalities on a grid: plot the intercepts (they snap to whole numbers), join the points, make each line dashed or solid, click the arrow on the side that satisfies it, then pick the region (or…
🔗 MatchingSolving Quadratic Inequalities Graphically: Matching
Six inequalities f(x) < g(x) (or ≤, >, ≥): match each to the graph of its two sides, which shows only where each graph meets the axes (and the turning point of a parabola clear of the x-axis), then work out where they cross and…
🔗 MatchingSolving Quadratic Inequalities: Matching
Six inequalities with an expression on each side: match each to its rearranged form (… < 0 or … > 0), the graph of that expression and its solution in set notation. Easy: x² on one side. Normal: x² on both sides, plus wrong…
🔗 MatchingSolving Simultaneous Quadratic Inequalities with Regions: Matching
Twelve shaded regions: drag the two inequalities that describe each region onto it, add the double inequality when the region is enclosed, and leave out the cards with mistakes. Easy: two straight lines; Normal: a parabola and a…
These are the pages for Quadratic inequalities and set notation in the GCSE + AQA Level 2 Further Maths scheme of work, following Pearson Edexcel GCSE (9–1) Higher (1MA1), plus AQA Level 2 Further Mathematics (8365). Open this topic in Mr Wells Maths to see it alongside the rest of the course.