Statement (11, 13, 15) Z (11, 12, 13, 14, 15} (7,9} Ø {c, d, f, g} = {d, fr (q, r, w) C (q, r, w} True False O
Statement (11, 13, 15) Z (11, 12, 13, 14, 15} (7,9} Ø {c, d, f, g} = {d, fr (q, r, w) C (q, r, w} True False O
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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Transcribed Image Text:---
### Identifying True Statements Involving Subsets and Proper Subsets
Understanding the relationships between sets is a fundamental concept in set theory. Below are some of the key symbols used to denote these relationships:
- **⊆** means "is a subset of."
- **⊂** means "is a proper subset of."
- **⊈** means "is not a subset of."
- **∅** is the empty set.
#### Instructions:
For each statement, decide if it is true or false.
| Statement | True | False |
|-----------------|------|-------|
| \(\{11, 13, 15\} \not\subseteq \{11, 12, 13, 14, 15\}\) | | ☑ |
| \(\{7, 9\} \not\subseteq \emptyset\) | | ☑ |
| \(\{c, d, f, g\} \subseteq \{d, f\}\) | | ☑ |
| \(\{q, r, w\} \subset \{q, r, w\}\) | | ☑ |
*Note: An explanation button and a check button are provided at the bottom of the interface to verify the answers.*
This exercise helps in honing your skills in identifying correct relationships among different sets using the appropriate mathematical symbols.
---
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