LINEAR FUNCTIONS Solving Linear Inequalities (Page 1 of 4)

Solving a linear inequality is nearly the same as solving an equation. In fact, we solve the equation first using either the x-intercept or intersection method, then analyze the graph to determine the solution set of the inequality.

For example, we will solve the inequality 3x+4 > (1/3)(x-2). Let's use the x-intercept method. Get a zero on one side of the inequality first: 3x+4-(1/3)(x-2) > 0.

Now replace the inequality symbol with an equal sign: 3x+4-(1/3)(x-2) = 0. This equation was solved in a previous example and the solution was determined to be x = -1.75. The graph of the function represented by the left side of the equation is shown along with the x-intercept.

Y= key....

GRAPH key.

 Calculator screen image. Calculator screen image.
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