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Solving Inequalities
Example 6

Example 6: Solving Linear Inequalities

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

Problem

Find the boundary for −2x−3<1\text{Find the boundary for }-2x-3<1

1. Recognize Pattern

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

2. Apply Method

2x+13≥1⇒x≥−62x+13\ge1\Rightarrow x\ge-6

3. Conclude

x>−2x>-2

Final answer

x>−2x>-2
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