Pearson Edexcel IGCSE · Mathematics (Specification A)

Inequalities: Practice Questions

3 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Inequalities.

8 questions27 marksFree, no account

Question 1

1 mark

Find the number of integers \(n\) that satisfy the inequality:
\(-5 < 2n - 1 \leq 7\)

Question 2

1 mark

Identify the list of all integer values of \(n\) that satisfy the double inequality:
\(2n + 3 > -1\) and \(3n - 5 \leq 4\)

Question 3

1 mark

Find the set of values of \(x\) for which:
\(2x^2 - 7x + 3 \leq 0\)

Question 4

3 marks

Solve the inequality \(4(x - 2) < 12\) and state the largest integer value that satisfies it.

Write your answer out first, then check it against the worked solution.

Question 5

6 marks

Solve the quadratic inequality \(x^2 - 5x + 6 \leq 0\).

Write your answer out first, then check it against the worked solution.

Question 6

6 marks

Find the set of integer values of \(x\) that satisfy both the inequality \(x^2 - x - 20 < 0\) and the inequality \(2x + 3 > 1\).

Write your answer out first, then check it against the worked solution.

Question 7

3 marks

(a) Solve the inequality:
\( 4(x - 2) < 2x + 10 \)

(b) Represent your answer to part (a) on a number line.

Write your answer out first, then check it against the worked solution.

Question 8

6 marks

Find the set of values for which \(x\) satisfies both of these inequalities:
\(2x + 5 > 1\) and \(x^2 - 4x - 12 < 0\).

Represent your final answer as a single inequality.

Write your answer out first, then check it against the worked solution.

* The content provided by thinka is generated by AI and may not always be accurate or up-to-date. Please use it as a supplementary resource and verify with official materials.

You've seen the model answer. Now get yours marked.

This page can show you how a good answer looks. It cannot tell you what your answer was missing. thinka marks your written work against the real mark scheme in about 15 seconds.

Get My Answers Marked Back to the notes

Want more questions like these? Get a fresh set on this topic, marked as you go.