Question

How do you create an empty set?

Short answer

Question: Explain how to create an empty set and provide the two notations used for representing it. Answer: To create an empty set, which is a set with no elements, you can use either the \(\emptyset\) notation or the curly braces notation (\(\{\}\)). The empty set is unique and can be represented as \(\emptyset\) or as \(\{\}\).

Step-by-step solution

Understand the definition of an empty set

An empty set is a set with no elements. It is unique and is denoted by either using the symbol \(\emptyset\) or using a pair of curly braces with nothing inside, like this: \(\{\}\).

Create an empty set using the \(\emptyset\) notation

One way to create an empty set is by using the \(\emptyset\) notation. Simply write the symbol \(\emptyset\) to represent the empty set.

Create an empty set using the curly braces notation

Alternatively, you can create an empty set by using a pair of curly braces with nothing inside. To represent the empty set using this notation, just write \(\{\}\).