(a) SCR (b) 1 € R (c) 1 € S (d) 1 CU

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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Question

Let R = {1, 3, π, 4, 1, 9, 10}, S = {{1}, 3, 9, 10}, T = {1, 3, π}, and U = {{1, 3, π}, 1}. Which of the
following are true? For those that are not, why not? 

The image presents a set of relationships and expressions using set notation. Here is the transcription of the text:

(a) \( S \subseteq R \)

(b) \( 1 \in R \)

(c) \( 1 \in S \)

(d) \( 1 \subseteq U \)

The expressions involve:

- \( S \subseteq R \): This indicates that set \( S \) is a subset of set \( R \), meaning every element of \( S \) is also an element of \( R \).

- \( 1 \in R \): This indicates that the element \( 1 \) is a member of set \( R \).

- \( 1 \in S \): This indicates that the element \( 1 \) is a member of set \( S \).

- \( 1 \subseteq U \): This indicates that \( 1 \), likely considered here as a set containing only the element \( 1 \), is a subset of set \( U \).
Transcribed Image Text:The image presents a set of relationships and expressions using set notation. Here is the transcription of the text: (a) \( S \subseteq R \) (b) \( 1 \in R \) (c) \( 1 \in S \) (d) \( 1 \subseteq U \) The expressions involve: - \( S \subseteq R \): This indicates that set \( S \) is a subset of set \( R \), meaning every element of \( S \) is also an element of \( R \). - \( 1 \in R \): This indicates that the element \( 1 \) is a member of set \( R \). - \( 1 \in S \): This indicates that the element \( 1 \) is a member of set \( S \). - \( 1 \subseteq U \): This indicates that \( 1 \), likely considered here as a set containing only the element \( 1 \), is a subset of set \( U \).
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