College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.1 - The Coordinate Plane - 1.1 Exercises - Page 92: 9

Answer

Refer to the image below for the sketch.
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Work Step by Step

RECALL: The point $(x, y)$ has: $x$ = directed distance of the point from the y-axis (negative when to the left of the y-axis, positive when to the right) $y$ = directed distance of the point from the x-axis (negative when below the x-axis, positive when above) Thus. the inequality $x \ge 2$ represents the region that contains the points whose x-coordinates are are $2$ and above. These points are found to the right of the line $x-2$, including the points on the line itself. Thus, to sketch the region given by the set, sketch the vertical line $x=2$, then shade the region to its right. (refer to the attached image in the answer part)
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