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Solving Inequalities
Example 12

Example 12: Solving Linear Inequalities

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

Problem

Find the boundary for −4x+5>21\text{Find the boundary for }-4x+5>21

1. Recognize Pattern

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

2. Apply Method

2x+11<15⇒x<22x+11<15\Rightarrow x<2

3. Conclude

x<−4x<-4

Final answer

x<−4x<-4
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