College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Cumulative Review: 3

Answer

The solution to the given inequality is: $\color{blue}{\bf(-1, 4)}$ Refer to the graph below.
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Work Step by Step

To solve the given inequality by graphing, treat each side of the inequality as a function. Graph: $y_1=x^2-3x$ (the red graph in the attached image below ) and $y_2=4$. (the green graph in the attached image below) The solution to the given inequality is the set of x values for which $y_1 \lt y_2$. Notice that the graph shows that $y_1\lt y_2$ between $x=-1$ and $x=4$ (not including $-1$ and $4$). Thus, the solution to the given inequality is: $\color{blue}{\bf(-1, 4)}$ Graph the inequality by plotting hollow points (holes) at $x=-1$ and $x=4$, then shading the region between them. (refer to the attached image in the answer part above for the graph)
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