Let A = {p, q, r, s}, B = {r, t, v}, and C = {p, s, t, u}. Let the universal set S be S = {p, q, r, s, t, u, v, w}

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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8. Let A = {p, q, r, s}, B = {r, t, v}, and C = {p, s, t, u}. Let the universal set S be S = {p, q, r, s, t, u, v, w}.
Find each of the following.

Here is the transcription of the text:

(b) \(A \cup C\)  
(c) \(C'\)  
(d) \(A \cap B \cap C\)  
(e) \(B \setminus C\)  
(f) \((A \cup B)'\)  
(g) \(A \times B\)  
(h) \((A \cup B) \cap C'\)  

Each line represents a set operation:

- \(A \cup C\): The union of sets A and C.
- \(C'\): The complement of set C.
- \(A \cap B \cap C\): The intersection of sets A, B, and C.
- \(B \setminus C\): The difference between set B and set C (elements in B but not in C).
- \((A \cup B)'\): The complement of the union of sets A and B.
- \(A \times B\): The Cartesian product of sets A and B.
- \((A \cup B) \cap C'\): The intersection of the union of sets A and B with the complement of set C.
Transcribed Image Text:Here is the transcription of the text: (b) \(A \cup C\) (c) \(C'\) (d) \(A \cap B \cap C\) (e) \(B \setminus C\) (f) \((A \cup B)'\) (g) \(A \times B\) (h) \((A \cup B) \cap C'\) Each line represents a set operation: - \(A \cup C\): The union of sets A and C. - \(C'\): The complement of set C. - \(A \cap B \cap C\): The intersection of sets A, B, and C. - \(B \setminus C\): The difference between set B and set C (elements in B but not in C). - \((A \cup B)'\): The complement of the union of sets A and B. - \(A \times B\): The Cartesian product of sets A and B. - \((A \cup B) \cap C'\): The intersection of the union of sets A and B with the complement of set C.
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