Podcast
Questions and Answers
If set A is a subset of set B, and set B is a subset of set C, which of the following statements is necessarily true?
If set A is a subset of set B, and set B is a subset of set C, which of the following statements is necessarily true?
- Sets A, B, and C are disjointed sets.
- Set A is a subset of set C. (correct)
- Set A is equal to set C.
- Set C is a subset of set A.
Given set $A = {1, 2, 3, 4, 5}$ and set $B = {1, 2, 3, 4, 5, 6}$, which of the following statements is true?
Given set $A = {1, 2, 3, 4, 5}$ and set $B = {1, 2, 3, 4, 5, 6}$, which of the following statements is true?
- Set A is a subset of set B. (correct)
- Set A is equal to set B.
- Set B is a subset of set A.
- Sets A and B are disjointed.
Which of the following statements accurately describes the relationship between a set and its proper subset?
Which of the following statements accurately describes the relationship between a set and its proper subset?
- A proper subset contains exactly the same elements as the original set.
- A proper subset contains some, but not all, of the elements of the original set. (correct)
- A proper subset contains all the elements of the original set.
- A proper subset contains all the elements of the original set and some additional elements.
If $A = {a, b, c}$, which of the following is NOT a valid subset of A?
If $A = {a, b, c}$, which of the following is NOT a valid subset of A?
Consider set X = {1, 2, 3}. Which of the following represents the power set of X?
Consider set X = {1, 2, 3}. Which of the following represents the power set of X?
If set A is defined as all positive even numbers less than 10, and set B is defined as all positive integers less than 6, which numbers would be elements of the intersection of Sets A and B?
If set A is defined as all positive even numbers less than 10, and set B is defined as all positive integers less than 6, which numbers would be elements of the intersection of Sets A and B?
What is the union of set A = {1, 3, 5} and set B = {2, 4, 5}?
What is the union of set A = {1, 3, 5} and set B = {2, 4, 5}?
Given set $X = {1, 2, 3, 4, 5}$ and set $Y = {3, 4, 6}$, what is $X - Y$ (the difference of X and Y)?
Given set $X = {1, 2, 3, 4, 5}$ and set $Y = {3, 4, 6}$, what is $X - Y$ (the difference of X and Y)?
Let A = {x | x is a prime number less than 10} and B = {x | x is an odd number less than 10}. What is A ∩ B?
Let A = {x | x is a prime number less than 10} and B = {x | x is an odd number less than 10}. What is A ∩ B?
If set A = {1, 2} and set B = {a, b}, what is the Cartesian product A × B?
If set A = {1, 2} and set B = {a, b}, what is the Cartesian product A × B?
Flashcards
Inclusion of Sets
Inclusion of Sets
The idea that a set 'A' is contained within another set 'B'.
Set Inclusion Definition
Set Inclusion Definition
If all elements of a set belong to another set, it is said to be included.
A ⊆ B
A ⊆ B
Symbol indicating that set A is a subset of set B.
C ⊈ B
C ⊈ B
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Study Notes
- This note reviews inclusion of sets
Inclusion of Sets
- Refers to the idea of ​​a certain set "A" being contained within another "B".
- If all the elements of a set belong to another, it is considered included, denoted by (C).
- If not, it is indicated by (not included).
Examples
- A C B (A is included in B)
- C (not included) B (C is not included in B)
- A = {1, 2, 3, 4, 5}
- B = {1, 2, 3, 4, 5}
- C = {8, 9}
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