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Solve Two Inequalities

In this worksheet, students solve inequalities.

'Solve Two Inequalities' worksheet

Key stage: KS 3

Curriculum topic: Algebra

Curriculum subtopic: Understand Expressions, Equations, Inequalities, Terms and Factors

Difficulty level:

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Worksheet Overview

This worksheet is about solving two inequalities.

Example

Solve the inequalities.

x ≥ -12 and 2x + 6 ≤ -6

Answer

x ≥ -12 is the same as saying -12 ≤ x

To solve 2x + 6 ≤ -6

we subtract 6 from both sides to get:

2x ≤ -12

and halve both sides to get:

x ≤ -6

Putting the two solutions together we get:

-12 ≤ x ≤ -6

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