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
    A rectangle has width ww cm and length (w+7)(w + 7) cm.

    The perimeter of the rectangle must be less than 4646 cm.

    (a) Show that w<8w < 8

    (b) The width is a whole number of centimetres. Write down the largest possible width.
    Level 5 · 4 marksTry it