Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Review Exercises - Page 878: 42


The graph is shown below:

Work Step by Step

Let us consider the inequality $ y\ge 3$ and substitute the equals symbol in place of the inequality and rewrite the equation as given below: $ y=3$ The y-intercept is 3. Then, take the origin $\left( 0,0 \right)$ as a test point and check the region in the graph to shade: $\begin{align} & y\ge 3 \\ & 0\ge 3 \end{align}$ So, the above expression is incorrect, which means the shaded region will not contain the test point; that is, the region away from the origin will be shaded. And the line passes through the point $\left( 0,3 \right)$. Plot the graph using the intercepts as given below: Thus, the graph of the provided inequality is plotted and the line passes through the point $\left( 0,3 \right)$. Also, we see that the shaded region does not contain the origin.
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