2. Let A = {1,3, 4, 6, 9}, B = {r | zEN and z < 5}, C = {x|a is an integer that can be wholly divided by 4, and1 7} and U = N. List elements of the following sets. (a) AnB (b) Anc (c) AUC (d) A D (e) (AUC)nD

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Let \( A = \{1, 3, 4, 6, 9\} \), \( B = \{ x \mid x \in \mathbb{N} \text{ and } x \leq 5 \} \), 
\( C = \{ x \mid x \text{ is an integer that can be wholly divided by 4, and } 1 \leq x \leq 20 \} \),
\( D = \{ x \mid x \in \mathbb{N} \text{ and } x > 7 \} \) and \( U = \mathbb{N} \). List elements of the following sets.

(a) \( A \cap B \)

(b) \( A \cap C \)

(c) \( A \cup C \)

(d) \( A - D \)

(e) \( (A \cup C) \cap \overline{D} \)
Transcribed Image Text:2. Let \( A = \{1, 3, 4, 6, 9\} \), \( B = \{ x \mid x \in \mathbb{N} \text{ and } x \leq 5 \} \), \( C = \{ x \mid x \text{ is an integer that can be wholly divided by 4, and } 1 \leq x \leq 20 \} \), \( D = \{ x \mid x \in \mathbb{N} \text{ and } x > 7 \} \) and \( U = \mathbb{N} \). List elements of the following sets. (a) \( A \cap B \) (b) \( A \cap C \) (c) \( A \cup C \) (d) \( A - D \) (e) \( (A \cup C) \cap \overline{D} \)
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