Inequalities — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)Solve the inequality 3x − 2 < 10.

Question 2

[2](a)n is an integer such that −2 < n ≤ 3. List all possible values of n.

Question 3

[2](a)Solve 2x + 5 > 1.

Question 4

[2](a)n is an integer such that −3 ≤ n < 2. List all possible values of n.

Question 5

[2](a)Solve 4 − x ≤ 10.

Question 6

[2](a)Solve 3x + 1 < 2x + 6.

Question 7

[1](a)Represent the inequality x ≥ −2 on a number line (describe it in words).

Question 8

[2](a)Solve −2x > 8, taking care with the inequality sign.

Question 9

[2](a)Solve 5 − 2x ≥ −3.

Question 10

[3](a)Solve 7 < 2x + 3 ≤ 15, giving your answer as a combined inequality.

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