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 scheme of work, following Pearson Edexcel GCSE (9–1) Mathematics, Higher tier (1MA1). Open this topic in Mr Wells Maths to see it alongside the rest of the course.