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Q19A. Define the sets A, B, C, and D as shown. Select all statements which are true. A W C {a, f, g, h, m, s} ≤ B CCA {m, s} C {a, g, s, m} = A {a} C D S C m р 6.0 D a g h f B

Q19A. Define the sets A, B, C, and D as shown. Select all statements which are true. A W C {a, f, g, h, m, s} ≤ B CCA {m, s} C {a, g, s, m} = A {a} C D S C m р 6.0 D a g h f B

Advanced Engineering Mathematics
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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**Question 19A** Define the sets A, B, C, and D as shown. Select all statements which are true. The diagram consists of three overlapping ovals and a circle representing the sets: 1. **Set A** is a large oval on the left. - Elements: c, w, s, m 2. **Set B** is a large oval on the right. - Elements: a, g, f, h, p 3. **Set C** is an oval overlapping sets A and B. - Elements: s, m 4. **Set D** is a smaller circle within the right section of set B. - Elements: g, a **Statements:** 1. \(\{a, f, g, h, m, s\} \subseteq B\) 2. \(C \subset A\) 3. \(\{m, s\} \subseteq C\) 4. \(\{a, g, s, m\} \subseteq A\) 5. \(\{a\} \subset D\)
Transcribed Image Text:**Question 19A** Define the sets A, B, C, and D as shown. Select all statements which are true. The diagram consists of three overlapping ovals and a circle representing the sets: 1. **Set A** is a large oval on the left. - Elements: c, w, s, m 2. **Set B** is a large oval on the right. - Elements: a, g, f, h, p 3. **Set C** is an oval overlapping sets A and B. - Elements: s, m 4. **Set D** is a smaller circle within the right section of set B. - Elements: g, a **Statements:** 1. \(\{a, f, g, h, m, s\} \subseteq B\) 2. \(C \subset A\) 3. \(\{m, s\} \subseteq C\) 4. \(\{a, g, s, m\} \subseteq A\) 5. \(\{a\} \subset D\)
### Problem Statement **Q20.** Suppose a computer program has been initialized such that the following sets have been stored for use in any algorithm: - **A =** {1, 2, 3, ..., 48} - **B =** {-7, -6, -5, ..., 25} Consider the following algorithm, which represents one part of the whole computer program (comments may occur after the `#` symbol on any line and are not used in computations): ### Algorithm Description **Part 1: Computes A - B and its cardinality** ```python AminusB = set() for element in A: # this line runs through every element in A if not(element in B): # A - B is the set of elements that are in A and are not in B AminusB.add(element) # Add to AminusB every element in A if the element is also not in B n = len(AminusB) # len() returns the number of elements in the array print(n) ``` ### Explanation This algorithm calculates the difference between sets A and B, and determines the number of elements in this set difference. It initializes an empty set `AminusB`, iterates through each element in set A, and adds it to `AminusB` only if it is not present in set B. After processing all elements in A, the algorithm computes the length of the set `AminusB`, which represents the number of elements that are unique to A when compared to B, and prints this value. ### Question What value is printed as a result of executing this algorithm?
Transcribed Image Text:### Problem Statement **Q20.** Suppose a computer program has been initialized such that the following sets have been stored for use in any algorithm: - **A =** {1, 2, 3, ..., 48} - **B =** {-7, -6, -5, ..., 25} Consider the following algorithm, which represents one part of the whole computer program (comments may occur after the `#` symbol on any line and are not used in computations): ### Algorithm Description **Part 1: Computes A - B and its cardinality** ```python AminusB = set() for element in A: # this line runs through every element in A if not(element in B): # A - B is the set of elements that are in A and are not in B AminusB.add(element) # Add to AminusB every element in A if the element is also not in B n = len(AminusB) # len() returns the number of elements in the array print(n) ``` ### Explanation This algorithm calculates the difference between sets A and B, and determines the number of elements in this set difference. It initializes an empty set `AminusB`, iterates through each element in set A, and adds it to `AminusB` only if it is not present in set B. After processing all elements in A, the algorithm computes the length of the set `AminusB`, which represents the number of elements that are unique to A when compared to B, and prints this value. ### Question What value is printed as a result of executing this algorithm?
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