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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Solve x2+5>9\frac{x}{2} + 5 > 9 (2 marks)
    Level 2 · 2 marksTry it
  2. 2
    (a) Solve 3x+5>2x−13x + 5 > 2x - 1 [2]

    (b) Write down the smallest integer that satisfies the inequality. [1]
    Level 2 · 3 marksTry it
  3. 3
    Solve the inequality 3x+5≤203x + 5 \le 20
    Level 2 · 2 marksTry it