Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Appendix A - Appendix A Exercises - Page 1158: 48

Answer

$$\left\{ {x:2 < x \leqslant 3} \right\}{\text{ or }}\left\{ {x:4 \leqslant x < 5} \right\}$$

Work Step by Step

$$\eqalign{ & \left( {2,3} \right]{\text{or}}\left[ {4,5} \right) \cr & {\text{Use the interval notations for bounded intervals}}{\text{, }}\left( {page{\text{ 1152}}} \right) \cr & \left( {a,b} \right] = \left\{ {x:a < x \leqslant b} \right\},{\text{ }}\left[ {a,b} \right) = \left\{ {x:a \leqslant x < b} \right\} \cr & {\text{Therefore}}{\text{,}} \cr & \left( {2,3} \right] = \left\{ {x:2 < x \leqslant 3} \right\} \cr & \left[ {4,5} \right) = \left\{ {x:4 \leqslant x < 5} \right\} \cr & \left\{ {x:2 < x \leqslant 3} \right\}{\text{ or }}\left\{ {x:4 \leqslant x < 5} \right\} \cr} $$
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