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4024/12 Oct/Nov 2022, Question 12: Linear Inequalities

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Show the inequality −4 ≤ x < 2 on a number line from −5 to 6, then solve 10 − n < 2n − 5.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Mark the interval from −4 to 2 on the given number line, showing which end is included and which is excluded.

  1. 1Draw a filled (solid) circle at −4, because x can equal −4
  2. 2Draw an open circle at 2, because x is less than 2
  3. 3Join the two circles with a straight line

AnswerLine from −4 to 2 with a filled circle at −4 and an open circle at 2

Part (b) · 2 marks

Find the values of n that satisfy 10 − n < 2n − 5.

  1. 110 − n < 2n − 5
  2. 210 + 5 < 2n + n
  3. 315 < 3n
  4. 4n > 5

Answern > 5 or 5 < n

Stuck on a step? Read the free lesson: Linear Inequalities

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Also searched as: 4024/12/O/N/22 · 4024_w22_qp_12 · 4024 w22 12 · question 12.
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