Linear inequalities are a type of inequality that represents a relationship between two linear expressions. They can be graphed on a number line or a coordinate plane, and the solution set is the set of all points that satisfy the inequality. The inequality symbol used in a linear inequality determines whether the solution set is less than, greater than, less than or equal to, or greater than or equal to a certain value. The graph of a linear inequality is a line, and the solution set is the region on one side of the line.