Which of the following best characterizes the statements: A) If A and B are sets, then A\BCB B) If A and B are sets, then An B≤B O Only A is TRUE O Only B is TRUE O Both A and B are TRUE Both A and B are FALSE
Which of the following best characterizes the statements: A) If A and B are sets, then A\BCB B) If A and B are sets, then An B≤B O Only A is TRUE O Only B is TRUE O Both A and B are TRUE Both A and B are FALSE
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:### Set Theory Statements Evaluation
#### Question:
Which of the following best characterizes the statements:
A) If \( A \) and \( B \) are sets, then \( A \setminus B \subseteq B \).
B) If \( A \) and \( B \) are sets, then \( A \cap B \subseteq B \).
#### Options:
1. Only A is TRUE
2. Only B is TRUE
3. Both A and B are TRUE
4. Both A and B are FALSE
Please select the correct option based on the given statements and their truth values.
**Explanation:**
- The notation \( A \setminus B \) represents the set difference between \( A \) and \( B \), which includes all elements of \( A \) that are not in \( B \).
- The notation \( \subseteq \) denotes that one set is a subset of another set.
- The notation \( A \cap B \) represents the intersection of sets \( A \) and \( B \), which includes all elements that are common to both \( A \) and \( B \).
Understanding subsets and set operations is crucial in determining the validity of these statements.
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