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Solving Inequalities
Example 2

Example 2: Solving Linear Inequalities

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

Problem

Find the boundary for 6x−7≥−19\text{Find the boundary for }6x-7\ge-19

1. Recognize Pattern

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

2. Apply Method

6x+13<−35⇒x<−86x+13<-35\Rightarrow x<-8

3. Conclude

x≥−2x\ge-2

Final answer

x≥−2x\ge-2
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