0580/22 May/Jun 2023, Question 8: Linear Inequalities
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
Solve two equations and inequalities: find x from a fraction equation, then solve a linear inequality showing the range of values.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Solve 30 ÷ x = 6 to find the value of x.
- 130 = 6x
- 2x = 30 ÷ 6 = 5
Answer5
Part (b) · 3 marks
Solve 11x − 3 ≥ 2(2x + 9) for x, showing the inequality.
- 111x − 3 ≥ 4x + 18
- 211x − 4x ≥ 18 + 3
- 37x ≥ 21
- 4x ≥ 3
Answerx ≥ 3
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Also searched as: 0580/22/M/J/23 · 0580_s23_qp_22 · 0580 s23 22 · question 8.
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