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Solving Inequalities
Example 10

Example 10: Solving Linear Inequalities

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

Problem

Find the boundary for −5x−12≥28\text{Find the boundary for }-5x-12\ge28

1. Recognize Pattern

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

2. Apply Method

7x−13≥36⇒x≥77x-13\ge36\Rightarrow x\ge7

3. Conclude

x≤−8x\le-8

Final answer

x≤−8x\le-8
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