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Solving Inequalities
Example 7

Example 7: Solving Linear Inequalities

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

Problem

Find the boundary for −7x−4<52\text{Find the boundary for }-7x-4<52

1. Recognize Pattern

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

2. Apply Method

7x−8<20⇒x<47x-8<20\Rightarrow x<4

3. Conclude

x>−8x>-8

Final answer

x>−8x>-8
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