Set Builder Notation

Front

What is Set Builder Notation?

Back

A mathematical notation for describing a set by stating the properties that its members must satisfy.

Front

What does the symbol '⊆' represent?

Back

It represents 'is a subset of'. A set A is a subset of set B if all elements of A are also elements of B.

Front

What does the symbol '⊄' represent?

Back

It represents 'is not a subset of'. A set A is not a subset of set B if at least one element of A is not in B.

Front

What is an empty set?

Back

A set that contains no elements, denoted by {} or ∅.

Front

What is an element in a set?

Back

Each object or member contained in a set.

Front

How do you denote the set of all natural numbers?

Back

Using the notation { x | x is a natural number }.

Front

What is the set of even numbers less than 10 in set builder notation?

Back

{ x | x is an even number and x < 10 }.

Front

What is the union of two sets?

Back

The set that contains all elements from both sets, denoted by A ∪ B.

Front

What is the intersection of two sets?

Back

The set that contains all elements that are common to both sets, denoted by A ∩ B.

Front

How do you represent the set of odd numbers less than 20 in set builder notation?

Back

{ x | x is an odd number and x < 20 }.