Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Section 1.1 - Real Numbers - 1.1 Exercises - Page 11: 66

Answer

The interval notations changes from $$(−∞,6]∩(2,10)$$ to $$(2,6]$$

Work Step by Step

In the interval notation we noticed bracket an parenthesis Bracket means close circle Parenthesis means open circle (−∞,6]∩(2,10) the symbol ∩ means all the common elements between these interval notations. 1. The commomn elemnts are $(2,3,4,5,6]$ 2. $2$ will not be included because for intersection the number needs to be in both sets and 2 is not included in the set (2,10). 3. 6 is included because it is included in both sets. 2. The line will go from 2 (open circle) to 6 (close circle•)
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