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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 6x66\text{Find the boundary for }-6x-6\ge-6

1. Recognize Pattern

ax+b<cx<cbaax+b<c\Rightarrow x<\frac{c-b}{a}

2. Apply Method

4x4<52x<144x-4<52\Rightarrow x<14

3. Conclude

x0x\le0

Final answer

x0x\le0