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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+324\text{Find the boundary for }3x+3\ge24

1. Recognize Pattern

ax+b<cx>cbaax+b<c\Rightarrow x>\frac{c-b}{a}

2. Apply Method

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

3. Conclude

x7x\ge7

Final answer

x7x\ge7