# Problem Solving Inequalities

However, some equations, with a proper substitution can be turned into a quadratic equation.

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Absolute Value Equations – In this section we will give a geometric as well as a mathematical definition of absolute value.

We will then proceed to solve equations that involve an absolute value.

Here is a list of all the sections for which practice problems have been written as well as a brief description of the material covered in the notes for that particular section.

Solutions and Solution Sets – In this section we introduce some of the basic notation and ideas involved in solving equations and inequalities.

In this section we will solve this type of equation.

Equations with Radicals – In this section we will discuss how to solve equations with square roots in them.

In addition, we discuss a subtlety involved in solving equations that students often overlook.

Applications of Linear Equations – In this section we discuss a process for solving applications in general although we will focus only on linear equations here.

Rational Inequalities – We continue solving inequalities in this section.

We now will solve inequalities that involve rational expressions, although as we’ll see the process here is pretty much identical to the process used when solving inequalities with polynomials.

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