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: 46

Answer

a) A $\bigcap$ C = {$x | -1 \lt x \leq 5$} b) A $\bigcap$ B = {$x | -2 \leq x \lt 4$}

Work Step by Step

a) A intersect C means that numbers that are in both A and C are included, therefore, those greater or equal to -2 can be used according to A, but only those greater than -1 and less than or equal to five can be used according to C, so you can only include those in set C. b) A intersect B means that only numbers in both A and B are included, therefore, you can only use numbers greater than or equal to negative two according to set A, and only those less than four according to set B.
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