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Solving Inequalities
Example 3

Example 3: Solving Linear Inequalities

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

Problem

Find the boundary for −5x−7≤38\text{Find the boundary for }-5x-7\le38

1. Recognize Pattern

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

2. Apply Method

x+7>−2⇒x>−9x+7>-2\Rightarrow x>-9

3. Conclude

x≥−9x\ge-9

Final answer

x≥−9x\ge-9
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