Mastering Inequalities
Mathematics
GCSE Higher
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About This Worksheet
A worksheet covering inequalities in algebra for GCSE Higher students, including basic procedures and applied reasoning questions.
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Mastering Inequalities
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key concepts of linear inequalities and how to solve them. Remember to consider the rules for multiplying or dividing by negative numbers.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve the inequality: 3x - 5 > 4
[2 marks]2.
Solve the inequality: 2( x + 3 ) ≤ 10
[2 marks]3.
Solve for x: -4x + 7 < 3
[2 marks]4.
Represent the inequality x + 2 ≥ 5 on a number line.
[3 marks]5.
Solve the inequality: 5 - 2x > 1
[2 marks]6.
Solve for x: 6x + 4 ≤ 22
[2 marks]7.
Solve the inequality: -3x + 5 ≥ 2x - 4
[2 marks]8.
Represent the solution set of x < -1 or x ≥ 4 on a number line.
[3 marks]9.
Given the inequality 2x - 3 > 7, find the range of x.
[4 marks]10.
A company’s profit P (in thousands of dollars) is modeled by the inequality P ≥ 10x + 20, where x is the number of units sold. Find the minimum number of units x needed to ensure profit is at least $50,000.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet