Given the relation S below, use ordered pair notation to express the relation S o S. 2 2 a S b C
Given the relation S below, use ordered pair notation to express the relation S o S. 2 2 a S b C
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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![### Composition of Relations
#### Section 5.4.1: Composition of relations
**Activity Instructions:**
Given the relation S below, use ordered pair notation to express the relation \( S \circ S \).
**Graph Description:**
The diagram consists of three nodes labeled \( a \), \( b \), and \( c \). There are directed edges as follows:
- An edge from \( a \) to \( a \).
- An edge from \( a \) to \( b \).
- An edge from \( b \) to \( c \).
**Task:**
Determine the set of ordered pairs for the relation \( S \circ S \).
**Input Box:**
\[ S \circ S = \{ \text{Ex: } (a, b), (b, c) \} \]
Users are expected to type the ordered pairs in the provided input box. The example given in the box shows the format in which the answer should be written.
**Buttons:**
- **Check:** To verify the entered answer.
- **Next:** To proceed to the following exercise or section.
#### Additional Exercises
- More practice is available through the “Additional exercises” section.
Use the knowledge of composition of relations to solve the problem, exploring paths from each node to discover which ordered pairs are valid for \( S \circ S \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bb27111-b1b5-4971-bf31-10d5c3bec1a4%2F7fafe4f9-7cfb-492d-9786-c3b426446abc%2Fclg6yzm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Composition of Relations
#### Section 5.4.1: Composition of relations
**Activity Instructions:**
Given the relation S below, use ordered pair notation to express the relation \( S \circ S \).
**Graph Description:**
The diagram consists of three nodes labeled \( a \), \( b \), and \( c \). There are directed edges as follows:
- An edge from \( a \) to \( a \).
- An edge from \( a \) to \( b \).
- An edge from \( b \) to \( c \).
**Task:**
Determine the set of ordered pairs for the relation \( S \circ S \).
**Input Box:**
\[ S \circ S = \{ \text{Ex: } (a, b), (b, c) \} \]
Users are expected to type the ordered pairs in the provided input box. The example given in the box shows the format in which the answer should be written.
**Buttons:**
- **Check:** To verify the entered answer.
- **Next:** To proceed to the following exercise or section.
#### Additional Exercises
- More practice is available through the “Additional exercises” section.
Use the knowledge of composition of relations to solve the problem, exploring paths from each node to discover which ordered pairs are valid for \( S \circ S \).
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