College Algebra (10th Edition)

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

Chapter 5 - Cumulative Review - Page 399: 2


Refer to the graph below.

Work Step by Step

To solve the given inequality by graphing, treat each side of the inequality as a function. Graph: $y_1=x^2$ (the red graph in the attached image below ) and $y_2=x$. (the green graph in the attached image below) The solution to the given inequality is the set of x values for which $y_1 \ge y_2$. Notice that the graph shows that $y_1\ge y_2$ in the following intervals of $x$: $(-\infty, 0]$ and $[(1, +\infty)$ Thus, the solution to the given inequality is: $\color{blue}{\bf(-\infty, 0] \cup [1, +\infty)}$ Graph the inequality by plotting solid points at $x=0$ and $x=1$, then shading the region to the left of $0$ and to the right of $1$. (refer to the attached image in the answer part above for the graph)
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