# Problem Solving Inequalities

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We define solutions for equations and inequalities and solution sets.

Linear Equations – In this section we give a process for solving linear equations, including equations with rational expressions, and we illustrate the process with several examples.

We will concentrate on solving linear inequalities in this section (both single and double inequalities). Polynomial Inequalities – In this section we will continue solving inequalities.

However, in this section we move away from linear inequalities and move on to solving inequalities that involve polynomials of degree at least 2.

All the properties below are also true for inequalities involving ≥ and ≤.

The addition property of inequality says that adding the same number to each side of the inequality produces an equivalent inequality $$If \: x\frac$$ To solve a multi-step inequality you do as you did when solving multi-step equations.

Quadratic Equations, Part I – In this section we will start looking at solving quadratic equations.

Specifically, we will concentrate on solving quadratic equations by factoring and the square root property in this section.

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.

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