et M = {x E Z| 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem 2: Set Theory and Operations**

Given the sets:

- \( M = \{x \in \mathbb{Z} \mid 0 \leq x < 3\} \)
- \( N = \{x \in \mathbb{Z} \mid 1 < x \leq 4\} \)
- \( S = \{x \in \mathbb{Z} \mid -1 \leq x \leq 3\} \)

Find the following, ensuring to express your solutions using set notation:

a. \( M^C \)

b. \( M \cap S \)

c. \( S \cup N \)

d. \( M^C \cap N \)
Transcribed Image Text:**Problem 2: Set Theory and Operations** Given the sets: - \( M = \{x \in \mathbb{Z} \mid 0 \leq x < 3\} \) - \( N = \{x \in \mathbb{Z} \mid 1 < x \leq 4\} \) - \( S = \{x \in \mathbb{Z} \mid -1 \leq x \leq 3\} \) Find the following, ensuring to express your solutions using set notation: a. \( M^C \) b. \( M \cap S \) c. \( S \cup N \) d. \( M^C \cap N \)
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