2.2 Equations and inequalities
Inequalities on number lines and graphs
Everything on inequalities on number lines and graphs that can come up in the WJEC GCSE Mathematics and Numeracy, in Unit 2 and Unit 3. Each skill below has the method, the mistake that costs the most marks, a worked example, and free practice marked the way WJEC marks it.
Practise inequalities on number lines and graphs free
The exam skills (3)
Inequalities on a number line
- A filled circle means the number is included (≤ or ≥).
- An empty circle means it is not included (< or >).
- The arrow points the way the values go.
Watch out: Using ≤ for an empty circle.
Inequalities
- Integers are whole numbers, including negatives and zero.
- Include the end numbers only if their circles are filled.
- List every integer in between.
Watch out: Including an end number with an empty circle.
Regions on a graph
- Find the equation of each boundary line.
- Test a point inside the region in each line to choose < or >.
- Solid line: ≤ or ≥. Dashed line: < or >.
Watch out: Choosing the inequality sign the wrong way. Test a point.
Ready to try some?
Fresh questions every time, a hint aimed at your exact mistake, and the mark scheme after every answer. Free, no sign-up.
Start practising