Inequalities: GCSE Maths revision
Inequalities use <, >, ≤ and ≥. Solve them like equations, but flip the inequality if you multiply or divide by a negative.
Solving linear inequalities
Solve 2x + 3 < 11
On a number line, an open circle means < or >; a filled circle means ≤ or ≥.
Try these questions
Cover the answers and have a go first. Worked solutions are underneath.
Solve x + 4 ≥ 9
Solve 3x − 2 < 10
Solve −2x > 8
List the integers that satisfy 1 < x ≤ 4
Solve 5 − x ≥ 2
Common mistakes
- Forgetting to reverse the inequality when multiplying or dividing by a negative.
- Using an open circle for ≤.
Answers and working
Frequently asked questions
Do I flip the sign when subtracting a negative?
No. Only flip when you multiply or divide both sides by a negative number.
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