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Solving Inequalities
Example 1

Example 1: Solving Linear Inequalities

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

Problem

Find the boundary for −6x−10<−46\text{Find the boundary for }-6x-10<-46

1. Recognize Pattern

ax+b\lec⇒x≤c−baax+b\lec\Rightarrow x\le\frac{c-b}{a}

2. Apply Method

6x+13≤19⇒x≤16x+13\le19\Rightarrow x\le1

3. Conclude

x>6x>6

Final answer

x>6x>6
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