Mastering Inequalities
Mathematics
GCSE Higher
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A worksheet covering Inequalities for GCSE Higher students.
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Mastering Inequalities
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key concept: An inequality is a statement that one expression is greater than, less than, or not equal to another. To solve inequalities, similar rules to equations are used, with attention to reversing the inequality sign when multiplying or dividing by a negative number.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: 3x + 5 < 20
[2 marks]2.
Solve for y: 2y - 4 ≥ 10
[2 marks]3.
Solve for z: -5z + 3 > 8
[2 marks]4.
Solve for x: 4x - 7 ≤ 9
[2 marks]5.
Determine the solution set for: 5 - 2x > 1
[2 marks]6.
If x + 3 > 7, what is the range of possible values for x?
[2 marks]7.
Solve for t: 2t/3 < 8
[2 marks]8.
Solve the inequality: -3x + 4 ≤ 1
[2 marks]9.
Represent the solution to 2x - 5 > 3 on a number line.
[3 marks]10.
A company's profit, P, is greater than $10,000 when the number of units sold, n, satisfies which inequality if profit per unit is $50?
[3 marks]11.
A rectangular garden's length is at least 12 meters and less than 20 meters. Write the inequality representing the length, l.
[2 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet