18 Questions
What is a universal set in a given situation?
The set of all the elements being considered from which many other subsets can be formed.
What is denoted by U or {xi} in a set?
The universal set.
What is the relationship between sets A and B if every element of set B is contained by set A?
B is a subset of A.
What is A called if it contains all the elements of set B?
The super set of B.
What is a proper subset of a set?
A subset that contains at least one element less than the set.
Is set A a subset of set N if A contains only some elements of N?
Yes.
What is the difference between a subset and a proper subset?
A subset is any set contained by another set, while a proper subset is a subset that contains at least one element less than the set.
Is set A an equal set to set N if A contains some elements of N?
No.
What is the notation used to represent a subset?
B ⊆ A
If every element of set C is contained by set D, which of the following statements is true?
Set C is a subset of set D.
What is the characteristic of a universal set in a given situation?
It always contains all the elements being considered.
If A is a subset of N, and A contains all the elements of N, then what is the relationship between A and N?
A is an equal set to N.
If set B is a subset of set A, and set B contains all the elements of set A, then what is the notation used to represent the relationship between A and B?
B ⊃ A
If set A is a proper subset of set N, which of the following statements is true?
A contains at least one element less than N.
What is the characteristic of a super set?
It contains all the elements of its subset.
If set A is a subset of set N, and set A contains some elements of set N, then what is the relationship between A and N?
A is a proper subset of N.
What is the relationship between sets A and B if A is a subset of B, and B is a subset of A?
A is an equal set to B.
If set A is a subset of set N, and set A contains all the elements of set N, except one element, then what is the relationship between A and N?
A is a proper subset of N.
Learn about the concept of universal sets, subsets, and super sets in set theory. Understand how to denote and form subsets from a given universal set. Practice your knowledge with this quiz!
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