INEQUALITIES (2 VARIABLES) Graphing A Solution Set (Page 1 of 4)

For inequalities in two variables, the TI-83 or TI-84 can be used to graph the solution set as long as y can be isolated as a function of x. For example, let's graph the solution set for the inequality 5x+3y >= -15.

First solve for y: y >= -(5/3)x-5. Then obtain the boundary equation by replacing the inequality symbol with an equality: y = -(5/3)x-5. Enter the boundary curve as a function Y1, and use a graphing style to shade the solution set to the inequality.

 Y= key. (Clear any previous functions)

 Negation key. 5 X,T,theta,n key. Divide key. 3 Minus key. 5
 2nd key. Left arrow key. Left arrow key. Left arrow key. ENTER key. ENTER key.

 Calculator screen image.

We used the style shown because the solution set is all ordered pairs having a y-value on or above the boundary curve (you need to determine this yourself). Notice how the style icon is an upper shaded triangle.
Copyright © 2010 Turner Educational Publishing
Go back to the previous page. Go to the next page. Go to the Table of Contents. Go to the Index page. Go to the Quiz page. Exit to the Home page.