#### While we deal with equations and expressions daily in mathematics, there is another category that is termed as inequalities. So, what are inequalities? Inequalities are a relation between two values when they are not equal. They are written with signs such as "greater than," "less than," "greater than or equal to," or "less than or equal to." These are known as the inequality symbols.
There is a type of inequality that is termed as quadratic inequality. These inequalities are functions whose degree is 2 and where y is not always exactly equal to the function. Here is how a quadratic inequality looks like;
3x^{2} + 4x - 10 ≥ 25
Sometimes, there are two expressions on both sides of these symbols.

A quadratic inequality is a function with a degree of 2, in which y may not be exactly equal to the function. Quadratic inequalities use inequality symbols (less than, greater than, less than or equal to, and greater than or equal to) to express relationship. In these worksheets, students will solve quadratic inequalities. For some problems, students will solve quadratic equations algebraically. For others, they will also state the solution set of the problem and graph on a number line. Paper for the students' number line graphs is required to accompany some worksheets. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. When finished with this set of worksheets, students will be able to solve quadratic inequalities both algebraically and by graphing. These worksheets explain how to solve these types of problems both algebraically and by graphing. Sample problems are solved and practice problems are provided.