LINEAR FUNCTIONS Solving Linear Inequalities (Page 3 of 4)

To solve 3x+4 > (1/3)(x-2) using the intersection method, replace the inequality symbol with an equal sign: 3x+4 = (1/3)(x-2). Then define the left side of the inequality to be a function Y1 and the right side to be a function Y2. We solved this equation in a previous example and determined the solution to be x = -1.75. The graph of the functions represented by the two sides of the equation are shown along with the intersection point.

Y= key....

GRAPH key.

 Calculator screen image. Calculator screen image.

We now interpret the inequality 3x+4 > (1/3)(x-2) in terms of the two functions we have graphed. The solution set will be all values of x for which the function Y1 (left side) has y-values greater than the y-values of Y2 (right side).
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.