A graphing calculator can be used to solve a linear inequality of the form . If we eliminate the point where , then every other x-value yields a result where  or . The solution of the inequality is the interval where the graph of y₁ is greater (higher) than the graph of y₂. Similar logic follows for inequalities of the form . Consider the inequality . We will graph and . 

The first graph on the left shows the point where the two graphs intersect, x = -1.25.  The second graph has a shaded section showing the interval where .  The solution set is all x-values greater than -1.25, or .   

   

Graphing Calculator Explorations
Solve the inequality using the graphing method mentioned above, and verify your answer by using algebraic methods to solve the equation. Use the graphing method to show that is the solution to the inequality . Use algebraic methods to solve . Since this is a special case for linear inequalities algebraically, it should also be a special case in graphing. Graph the lines.