Understanding Basic Set Concepts

What is a set in mathematics?

• A set is a mathematical operation.

• A set is a collection of similar objects.

• A set is a single object.

• A set is a collection of distinct objects.

How do you denote a set?

• A set is denoted by parentheses, e.g., (a, b, c).

• A set is denoted by angle brackets, e.g., .

• A set is denoted by curly braces, e.g., {a, b, c}.

• A set is denoted by square brackets, e.g., [a, b, c].

What is the difference between a finite and an infinite set?

• A finite set can have an infinite number of elements; an infinite set has a limited number of elements.

• Both finite and infinite sets have the same number of elements.

• A finite set has a limited number of elements; an infinite set has an unlimited number of elements.

• A finite set is always larger than an infinite set.

What is an empty set?

• A set that is defined by a specific rule.

• An empty set is a set with no elements.

• A set that contains multiple elements.

• A set that contains one element.

How do you represent the union of two sets?

• A ∪ B = {x | x ∈ A or x ∈ B}

• A ∩ B = {x | x ∈ A and x ∈ B}

• A - B = {x | x ∈ A but x ∉ B}

• A ⊆ B = {x | x ∈ A implies x ∈ B}

What is the intersection of two sets?

• The intersection of two sets is the set of elements common to both sets.

• The intersection of two sets is the total number of elements in both sets.

• The intersection of two sets is the set of elements that are in neither set.

• The intersection of two sets is the set of all unique elements from both sets.

What does it mean for two sets to be disjoint?

• Two sets are disjoint if they have no elements in common.

• Two sets are disjoint if they are both empty.

• Two sets are disjoint if they are identical to each other.

• Two sets are disjoint if they have at least one element in common.

What is a subset?

• A subset is a set that contains some or all elements of another set.

• A subset is a set that has no relation to another set.

• A subset is a set that contains only unique elements.

• A subset is a set that contains all elements of another set.

How do you find the complement of a set?

• The complement of a set A includes only the elements in U that are also in A.

• The complement of a set A is the set of all elements in the universal set U that are not in A.

• The complement of a set A is the set of all elements in A.

• The complement of a set A is the empty set.

What is the power set of a set?

• The power set of a set is the set of all its subsets.

• The power set is the set of all elements in the original set.

• The power set includes only the original set itself.

• The power set contains only the empty set.