Which symbol is used to represent the complement of a set?

Which symbol is used to represent the complement of a set?

• A. ∩
• B. ∪
• C. '
• D. ∅

Answer: (C)

The complement of a set is represented by the symbol that is commonly used as a prime notation, denoted as an apostrophe ('). This symbol indicates all the elements not in the specified set, relative to a universal set in which the sets are defined. For example, if you have a set A, then the complement of set A, written as A', includes all elements in the universal set that are not in A. Understanding the concept of a complement is critical in set theory, as it allows for the identification of outside elements in relation to defined sets. The other symbols represent different set operations: intersection (∩) shows elements common to both sets, union (∪) combines elements from both sets, and the empty set (∅) indicates a set with no elements. These operations differ fundamentally from the concept of a complement, highlighting why the prime notation is the correct choice for representing the complement of a set.

The complement of a set is represented by the symbol that is commonly used as a prime notation, denoted as an apostrophe ('). This symbol indicates all the elements not in the specified set, relative to a universal set in which the sets are defined.

For example, if you have a set A, then the complement of set A, written as A', includes all elements in the universal set that are not in A. Understanding the concept of a complement is critical in set theory, as it allows for the identification of outside elements in relation to defined sets.

The other symbols represent different set operations: intersection (∩) shows elements common to both sets, union (∪) combines elements from both sets, and the empty set (∅) indicates a set with no elements. These operations differ fundamentally from the concept of a complement, highlighting why the prime notation is the correct choice for representing the complement of a set.