Sets and Venn Diagrams

Front

What does the symbol ( ∩ ) represent in set theory?

Back

Intersection: The operation that finds common elements between two sets.

Front

What does the symbol ( ∪ ) represent in set theory?

Back

Union: The operation that combines all elements from two sets, excluding duplicates.

Front

If A = {red, blue, yellow}, B = {Red, yellow, green}, and C = {green, red, purple}, what is (A ∪ B) ∩ C?

Back

{red, green}: The intersection of the union of sets A and B with set C.

Front

What does the symbol ( ∉ ) mean in set theory?

Back

Is not a member of: Indicates that an element does not belong to a set.

Front

What type of set is denoted as either { } or ∅?

Back

Empty (or Null) Set: A set that contains no elements.

Front

What is a Universal Set?

Back

The set that contains all possible elements for a particular discussion or problem.

Front

Define a Subset.

Back

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

Front

What is a Disjoint Set?

Back

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

Front

What does the symbol ( ⊆ ) represent?

Back

Subset: Indicates that all elements of one set are contained within another set.

Front

What is the Complement of a Set?

Back

The set of all elements in the universal set that are not in the given set.