Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX B - Coordinate Geometry and Lines - B Exercises - Page A 16: 48

Answer

The region includes all the points where $-3 \lt x \lt 3$ and $-2 \lt y \lt 2$

Work Step by Step

$\{(x,y)\vert~\vert x \vert \lt 3~and ~\vert y \vert \lt 2 ~\}$ The region includes all the points where $-3 \lt x \lt 3$ and $-2 \lt y \lt 2$ Thus, the region includes all the points which are between the vertical lines $x = -3$ and $x = 3$, and between the horizontal lines $y = -2$ and $y = 2$. Note that the points on these four lines are not included in the region.
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