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Solving Inequalities
Example 8

Example 8: Solving Linear Inequalities

Step-by-step worked example for this lesson track.

Problem

Find the boundary for −6x−6≥−6\text{Find the boundary for }-6x-6\ge-6

1. Recognize Pattern

ax+b<c⇒x<c−baax+b<c\Rightarrow x<\frac{c-b}{a}

2. Apply Method

4x−4<52⇒x<144x-4<52\Rightarrow x<14

3. Conclude

x≤0x\le0

Final answer

x≤0x\le0
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