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Solving Inequalities
Example 5

Example 5: Solving Linear Inequalities

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

Problem

Find the boundary for −2x+6<−20\text{Find the boundary for }-2x+6<-20

1. Recognize Pattern

ax+b\gec⇒x≥c−baax+b\gec\Rightarrow x\ge\frac{c-b}{a}

2. Apply Method

4x−6≥26⇒x≥84x-6\ge26\Rightarrow x\ge8

3. Conclude

x>13x>13

Final answer

x>13x>13
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