College Mathematics - Set Theory

Front

What is a well-defined set?

Back

A well-defined set is a collection of distinct objects that can be clearly identified and described, such that it is possible to determine whether an object belongs to the set or not.

Front

What is the intersection of two sets S and T?

Back

The intersection of two sets S and T, denoted as S ∩ T, is the set of elements that are common to both S and T.

Front

How do you find the complement of a set A?

Back

The complement of a set A, denoted as A', is the set of all elements in the universal set that are not in A.

Front

What does the shaded region in a Venn diagram represent?

Back

The shaded region in a Venn diagram represents the elements that satisfy the conditions specified by the sets involved.

Front

Define a universal set.

Back

A universal set is the set that contains all possible elements relevant to a particular discussion or problem.

Front

What is a subset?

Back

A subset is a set where all elements are also contained within another set. If A is a subset of B, every element of A is also an element of B.

Front

What is the union of two sets?

Back

The union of two sets A and B, denoted as A ∪ B, is the set of elements that are in A, in B, or in both.

Front

How do you determine the number of elements in a set?

Back

The number of elements in a set is determined by counting the distinct objects in the set.

Front

What is a disjoint set?

Back

Disjoint sets are sets that have no elements in common; their intersection is the empty set.

Front

What is the empty set?

Back

The empty set, denoted as {}, is a set that contains no elements.