What you need to know
Check yourself against these “I can” statements.
- I can solve linear inequalities and show the answer on a number line
- I can solve quadratic inequalities
- I can write the solution to an inequality using set notation
Practise this topic
7 resourcesSolve the Inequality
Single inequalities, x on both sides, negative coefficients (flip the sign), double inequalities, and splitting and combining. Five difficulty levels, timed, click to reveal.
🔤 Fill the GapsFill the Gaps: Maths Vocabulary
A sentence explaining one of the unit’s key words, with gaps. Pick the right word for each gap from the words scattered round it: the right ones and plenty of wrong ones. A deck for every unit.
🧮 ToolGraph Plotter
A graphing calculator: type y = f(x), x = g(y), implicit relations such as x² + y² = 25, inequalities (shaded, dashed for < and solid for ≤), parametric and polar curves, points and tables, functions f(x) = … with f′(x), and…
⬢ BlockbustersSolve the Inequality Blockbusters
Blockbusters with the questions from the Solve the Inequality worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with multiple…
🔗 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 Solving linear and quadratic inequalities in the GCSE + AQA 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.