GCSE · Inequalities

Linear inequalitiesExam-style questions

Why inequalities solve like equations except for one rule — flipping on a negative multiplier — why the answer is a RANGE not a number, and how double inequalities and integer lists work.

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16 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Write down all the integer values of $x$ that satisfy $-2 < x \le 2$
Level 1 · 1 markTry it
2
Solve $2x + 3 > 9$
Level 1 · 1 markTry it
3
Solve $\frac{x}{2} + 5 > 9$ (2 marks)
Level 2 · 2 marksTry it
4
(a) Solve $3x + 5 > 2x - 1$ [2]

(b) Write down the smallest integer that satisfies the inequality. [1]
Level 2 · 3 marksTry it
5
Solve the inequality $3x + 5 \le 20$
Level 2 · 2 marksTry it

11 more questions on linear inequalities

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