Which of these values satisfies the inequality x ⩾ −2?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Inequalities Topical Past Papers.
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These Inequalities Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Algebra and graphs (E2.6) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Represent and interpret inequalities on a number line; construct, solve and graph linear inequalities (and shade regions defined by inequalities at Extended).
Which of these values satisfies the inequality x ⩾ −2?
Solve: x + 5 < 12.
[1 mark]Solve: 3x + 8 ⩾ 5x − 4.
[2 marks]Solve the compound inequality: −3 ⩽ 2x + 1 < 7.
[2 marks]How many integer values of n satisfy −3 < n ⩽ 4?
Solve: 5 − 2x > 11.
[2 marks]Write down the largest integer that satisfies your inequality from part (a).
[1 mark]A taxi charges a $2.50 base fare plus $1.20 for each kilometre travelled. A passenger has at most $20 to spend on the journey.
Write an inequality in terms of x, where x is the number of kilometres travelled.
[1 mark]Find the maximum whole number of kilometres the passenger can travel.
[1 mark]Solve the inequality 2(x − 3) ⩽ 5 − x. List the four largest integer solutions.
[2 marks]