### 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

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