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Solving Inequalities
Example 4

Example 4: Solving Linear Inequalities

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

Problem

Find the boundary for 3x+3≥24\text{Find the boundary for }3x+3\ge24

1. Recognize Pattern

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

2. Apply Method

−7x+11<−45⇒x>8-7x+11<-45\Rightarrow x>8

3. Conclude

x≥7x\ge7

Final answer

x≥7x\ge7
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