Set Builder Notation Free Response

Front

What is set-builder notation?

Back

A mathematical notation used to describe a set by stating the properties that its members must satisfy.

Front

What is roster notation?

Back

A way to represent a set by listing its elements within curly braces, separated by commas.

Front

What is the purpose of set-builder notation?

Back

To define a set by specifying a property that its members must satisfy.

Front

How do you denote a set using set-builder notation?

Back

Using the format {x | property of x}, where x is an element of the set.

Front

What does the symbol '∈' represent in set theory?

Back

It denotes 'is an element of'.

Front

What does the symbol '∉' represent in set theory?

Back

It denotes 'is not an element of'.

Front

What is an example of a set defined using set-builder notation?

Back

{x | x is an even integer}.

Front

What is the difference between finite and infinite sets?

Back

A finite set has a limited number of elements, while an infinite set has no limit to the number of elements.

Front

What is an empty set?

Back

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

Front

How can you convert a set from roster notation to set-builder notation?

Back

By identifying a property that all elements share and expressing it in set-builder form.