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12. Let the universal set be R, the set of all real numbers, and let A = {x ER|-3

12. Let the universal set be R, the set of all real numbers, and let A = {x ER|-3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Parts a, h, and j

12. Let the universal set be \(\mathbb{R}\), the set of all real numbers, and let \(A = \{x \in \mathbb{R} \mid -3 \leq x \leq 0\}\), \(B = \{x \in \mathbb{R} \mid -1 < x < 2\}\), and \(C = \{x \in \mathbb{R} \mid 6 < x \leq 8\}\). Find each of the following: a. \(A \cup B\) b. \(A \cap B\) c. \(A^c\) d. \(A \cup C\) e. \(A \cap C\) f. \(B^c\) g. \(A^c \cap B^c\) h. \(A^c \cup B^c\) i. \((A \cap B)^c\) j. \((A \cup B)^c\)
Transcribed Image Text:12. Let the universal set be \(\mathbb{R}\), the set of all real numbers, and let \(A = \{x \in \mathbb{R} \mid -3 \leq x \leq 0\}\), \(B = \{x \in \mathbb{R} \mid -1 < x < 2\}\), and \(C = \{x \in \mathbb{R} \mid 6 < x \leq 8\}\). Find each of the following: a. \(A \cup B\) b. \(A \cap B\) c. \(A^c\) d. \(A \cup C\) e. \(A \cap C\) f. \(B^c\) g. \(A^c \cap B^c\) h. \(A^c \cup B^c\) i. \((A \cap B)^c\) j. \((A \cup B)^c\)
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