College Algebra 7th Edition

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

Chapter P, Prerequisites - Section P.2 - Real Numbers - P.2 Exercises: 59

Answer

(a) $[-3, 5]$ (b) $(-3, 5]$

Work Step by Step

(a) The points are solid on both ends. This means that the numbers they represent (-3 and 5) are included in the set. Since both end numbers are included, then the interval notation must have brackets on both sides Thus. the interval notation of the given set is $[-3, 5]$. (b) The endpoint on the left is hollow. Thus, the number it represents (-3) is not included in the set. This means that a parenthesis will be used on the left side of the interval notation. The endpoint on the right is a solid dot. Thus, the number it represents (5) is included in the set. This means that a bracket will be used on the right sides of the interval notation. Thus. the interval notation of the given set is $(-3, 5]$.
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