Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.9 - Systems of Inequalities - 10.9 Exercises - Page 764: 12

Answer

See graph below.

Work Step by Step

The question asks to only graph the inequality. Here are some criteria for graphing inequalities: 1. If it is $\lt$ or $\gt$, then the graph must be dashed. 2. If it is $\leq$ or $ \geq$, then the graph must be solid. 3. If it is $\lt$ or $\leq$ (with y being isolated), then the shading is below, left, or inside the graph. 4. If it is $\gt$ or $\geq$ (with y being isolated), then the shading is above, right, or outside the graph. Given $x \leq -1$ Graph $x = -1$ with a solid line. Since it is $\leq$, then the shading will be to the left of the graph. See graph below.
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