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Solving Inequalities
Example 11

Example 11: Solving Linear Inequalities

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

Problem

Find the boundary for 3x+9≥36\text{Find the boundary for }3x+9\ge36

1. Recognize Pattern

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

2. Apply Method

−x−4>−14⇒x<10-x-4>-14\Rightarrow x<10

3. Conclude

x≥9x\ge9

Final answer

x≥9x\ge9
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