Week 7 - Sets Test Review

Vocabulary flashcards covering Week 7 Sets topics, including infinite/finite sets, cardinality, subsets, complements, unions/intersections, universal/empty sets, power sets, and Venn diagrams.

Infinite set

A set that contains an unbounded, unlimited number of elements; it is not finite.

Finite set

A set with a limited number of elements; its cardinality is a nonnegative integer.

Cardinality

The number of elements in a set.

Real numbers

The set of all numbers on the number line, including rationals and irrationals (denoted R).

Subset

A set A is a subset of B if every element of A is also an element of B (A ⊆ B).

Universal set

The set that contains all elements being considered, often denoted U.

Complement

The set of elements in the universal set that are not in a given set A (A' = U \ A).

Union

The set of elements belonging to A or B (or both), denoted A ∪ B.

Intersection

The set of elements common to both A and B, denoted A ∩ B.

Empty set

The set containing no elements; denoted ∅.

Power set

The set of all subsets of a given set; if a set has n elements, its power set has 2^n elements.

Subset count (2^n)

The number of subsets of a set with n elements equals 2^n; this is the size of the power set.

Venn diagram

A visual representation of sets and their relationships using overlapping shapes.

Three-set Venn diagram

A Venn diagram showing relationships among three sets, dividing the universal set into up to eight regions.

Exclusive region

The region in a Venn diagram containing elements that belong to exactly one of the sets (the 'only' region).

At least one

The union of sets; elements that lie in any of the sets being considered.

Neither

Elements in the universal set that are outside all of the considered sets.

Descriptive form

A way of describing a set using words rather than listing elements.

Roster form

A way of writing a set by listing all its elements inside braces, e.g., {1,2,3}.

Complement in U

The complement of a set A with respect to the universal set U; A' = U \ A.

Union notation

The symbol ∪ is used to denote the union of two sets (e.g., A ∪ B).

Intersection notation

The symbol ∩ is used to denote the intersection of two sets (e.g., A ∩ B).