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December 20, 2025
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Arthur Joyce Wangui

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College Mathematics: Linear Equations & Inequalities – Simple Notes + Examples

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Clear and simplified college mathematics notes covering linear equations and inequalities.
Includes definitions, worked examples, and practice questions. Suitable for beginners and
revision.

Content

1. Linear Equations
A linear equation is an equation with one or more variables raised to the power of 1.
Example:
2x + 3 = 11
Solution:
2x = 8
x=4

2. Solving Linear Equations

Combine like terms

Move variables to one side

Solve for the unknown


3. Linear Inequalities
An inequality shows a relationship that is not equal.
Symbols used: >, <, ≥, ≤

Example:
3x − 2 > 7
3x > 9
x>3

4. Practice Questions

1. Solve: 4x + 6 = 18
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