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Intersection and Union of Sets Worksheets

In statistics we are often looking for probabilities that consist of multiple data sets or collection groups. When we have are looking to find values that crossover or are consistently found in both groups, we are looking to locate either unions or intersections found within the sets. A union, outside of statistics, is action of joining things together. A union in the context of data sets is the same thing. When we display a union, we are listing all of the elements that exist across multiple sets. This gives us a quick understanding of all the elements that reside within both sets. An intersection displays all the elements that are found within both sets. With the help of these worksheets and lessons students learn how to detect and interpret unions and intersections between statistical probability sets.

Aligned Standard: HSS.CP.A.1

  • Answer Keys - These are for all the unlocked materials above.

Given Open Sets Practice Sheets

In this series you are given numbered sets and are asked to create Venn Diagrams.

  • Practice 3 - Intersection (and): The set of elements in common. Do not repeat an element.
  • Practice 4 - Union (or): The set of elements from all sets. Do not repeat an element.

Homework Sheets

The homework sheets test your complete mastery of the topic. Read each question very carefully.

  • Homework 1 - C notation: C means NOT. Example: P(G)C means P(NOT G).
  • Homework 2 - The Universal Set, represents the suit of hearts in a 52-deck of cards excluding the Ace, {2, 3 ,4, 5, 6, 7, 8, 9, 10, J, Q, K).
  • Homework 3 - Create the Venn Diagram and answer the questions given the following events.

Quizzes on Sets

The quizzes expect you to understand set notation in addition to the basic concepts.

  • Quiz 1 - The Universal Set includes all the letters from A - P, {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P}.
  • Quiz 2 - Model this scenario: In Kiki's class 10 students have Smart phones, 12 Flip phones, and 2 No phone.

What Is the Difference Between an Intersection and a Union of Sets?

Eye of Connections

A set is a collection of numbers or objects that are written within curly brackets, set brackets, or braces, with a comma between each member of the set. The members in a set do not necessarily specify a characteristic they are individually referred to as elements. Two sets are said to be equal if they consistent of the same exact elements. If a set does not contain any elements it is referred to as null or empty. Sets are a fundamental concept in mathematics, and without applying them in different situations, sets have no real meaning.

There are a variety of properties and functions that we can apply on sets. This includes intersection, union, and compliments. Unions and intersections are two opposite functions. A union operation, when applied on sets, results in a set that contains elements that are at least in one of the sets in question. We denote the operation of union using "U" and use "or" to represent the operation in words. When you display a union, we include every number that was found within each set. This is conceptual equivalent to sum statements in most cases.

An intersection operation when applied on sets, results in a set that contains the elements that are present in all sets in question. We denote the operation of intersection using "∩" and use "and" to represent the operation in words. Only if the element is found in both sets do we list it in our intersection statement.

These types of actions are extremely applicable to any field that compares large amounts of data. They help us provide quick summaries of data sets and help reflect multiple collections of data. If we had data that was collected on a Sunday and compared it to data collected on a Wednesday. A union statement would give us a quick understanding of all the types of data that were collected, and an intersection could tell us what is common to both data collections.

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