Set Notation

Front

What is set notation?

Back

Set notation is a mathematical language used to describe collections of objects, called sets, using symbols and specific rules.

Front

What does the symbol ∩ represent in set theory?

Back

The symbol ∩ represents the intersection of two sets, which includes all elements that are common to both sets.

Front

What does the symbol ∪ represent in set theory?

Back

The symbol ∪ represents the union of two sets, which includes all elements that are in either set.

Front

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B?

Back

A ∩ B = {2, 3}

Front

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∪ B?

Back

A ∪ B = {1, 2, 3, 4}

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of sets and their relationships, often using overlapping circles to show intersections and unions.

Front

What does the shaded portion of a Venn diagram typically represent?

Back

The shaded portion of a Venn diagram represents the elements that satisfy a certain condition, such as belonging to one or both sets.

Front

What is a subset?

Back

A subset is a set where all elements are also contained in another set. For example, if A = {1, 2}, then A is a subset of B = {1, 2, 3}.

Front

What does it mean for two sets to be disjoint?

Back

Two sets are disjoint if they have no elements in common, meaning their intersection is the empty set.

Front

If A = {1, 2, 3} and B = {4, 5, 6}, what is A ∩ B?

Back

A ∩ B = {} (the empty set)