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Solving Inequalities
Example 9

Example 9: Solving Linear Inequalities

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

Problem

Find the boundary for 7x−6>−48\text{Find the boundary for }7x-6>-48

1. Recognize Pattern

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

2. Apply Method

−5x+4>−46⇒x<10-5x+4>-46\Rightarrow x<10

3. Conclude

x>−6x>-6

Final answer

x>−6x>-6
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