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Home > PC3 > Chapter 5 > Lesson 5.1.2 > Problem 5-24

5-24.

Solve for :   

This equation has rational expressions, so the function can "change sign" at -intercepts or vertical asymptotes.
Set this inequality equal to .
Create a common denominator and then a single fraction.
Determine the boundary points by setting each factor equal to . Mark these boundary points on a number line.
Test a point in each interval to determine the solution interval(s).

The boundary points are , , and .
Mark these points on a number line and test a point in each interval.
You only need to think about each factor as being positive or negative since the entire expression is being compared to .