Lesson 3.5 - Working With Sets

Front

What is a set in mathematics?

Back

A set is a collection of distinct objects, considered as an object in its own right. Sets are usually denoted by curly braces, e.g., {1, 2, 3}.

Front

What is roster form in set notation?

Back

Roster form is a way of specifying a set by listing its elements within curly braces, e.g., {1, 2, 3}.

Tags

CCSS.7.EE.B.3

Front

What is set-builder notation?

Back

Set-builder notation is a shorthand used to describe a set by stating the properties that its members must satisfy, e.g., {x | x > 0}.

Front

How do you represent the empty set?

Back

The empty set is represented by the symbol ∅ or by the notation {}.

Front

What is a subset?

Back

A subset is a set that contains only elements from another set. If A is a subset of B, every element of A is also an element of B.

Front

What is the difference between a proper subset and a subset?

Back

A proper subset is a subset that contains at least one element not in the larger set, while a subset can be equal to the larger set.

Front

How do you find the number of subsets of a set?

Back

The number of subsets of a set with n elements is 2^n.

Front

What is set intersection?

Back

Set intersection is the set containing all elements that are common to both sets, denoted by A ∩ B.

Front

What is set union?

Back

Set union is the set containing all elements from both sets, denoted by A ∪ B.

Front

What is the difference between union and intersection of sets?

Back

Union combines all elements from both sets, while intersection includes only the elements that are present in both sets.