The five set operations (complement, intersection, union, difference, and Cartesian product) are applied to subsets of U (that is, to A and/or B). Is the result always a subset of U also? Explain why or why not.
Is the complement of a subset A of U also a subset of U? Explain why or why not.
A. The complement of set A is not a subset of U. It contains all elements that are not in A, some of which may also not be in U.
B. The complement of set A is not a subset of U, as it contains all elements that are not in A and not in U.
C. The complement of set A is a subset of U, as it contains all the elements of U that are not in A.
D. The complement of set A is a subset of U, as it contains all the elements of U that are in both A and U.

Question

19-06-2024
Mathematics

Answered

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The five set operations (complement, intersection, union, difference, and Cartesian product) are applied to subsets of U (that is, to A and/or B). Is the result always a subset of U also? Explain why or why not.
Is the complement of a subset A of U also a subset of U? Explain why or why not.
A. The complement of set A is not a subset of U. It contains all elements that are not in A, some of which may also not be in U.
B. The complement of set A is not a subset of U, as it contains all elements that are not in A and not in U.
C. The complement of set A is a subset of U, as it contains all the elements of U that are not in A.
D. The complement of set A is a subset of U, as it contains all the elements of U that are in both A and U.

Sagot :

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