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There are 11 lessons in this math tutorial covering Operations with Sets. The tutorial starts with an introduction to Operations with Sets and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Operations with Sets. you can access all the lessons from this tutorial below.
In this Math tutorial, you will learn:
- What is the intersection of sets? What is the symbol used to show the intersection?
- How to find the intersection of two or more sets?
- What are the properties of sets intersection?
- What are the properties of union of sets.
- How to show the intersection/union of sets using the Venn diagram?
- How to express the operations with number sets in a number line?
- What is the difference between two sets? How to find it?
- What is the difference between the complement of one or more set(s).
- How to find the number of elements in a union set?
- How to solve problems with sets?
- What are the distributive laws?
- What are the properties of difference and complement?
- What do the de Morgan Laws speak about?
Introduction
It is well known that there are four basic operations in Arithmetics: addition, subtraction, multiplication and division. Similarly, in Set Theory, there are four operations as well, albeit not exactly like those of Arithmetics. They are intersection, union, complement and difference of sets. This tutorial will explain each of these operations illustrated with various examples.
Please select a specific "Operations with Sets" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.
Sets Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 17.2 | Operations with Sets | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 17.2.1 | Intersection of Sets | | |
| 17.2.2 | Properties of the Intersection of Sets | | |
| 17.2.3 | Union of Sets | | |
| 17.2.4 | Properties of the Union of Sets | | |
| 17.2.5 | Expressing Number Sets in the Number Line | | |
| 17.2.6 | Difference between Two Sets | | |
| 17.2.7 | Complement of a Set | | |
| 17.2.8 | Finding the Number of Elements in a Union Set | | |
| 17.2.9 | Problems with Sets | | |
| 17.2.10 | Other Properties of Sets | | |
| 17.2.11 | De Morgan Laws | | |
Whats next?
Enjoy the "Operations with Sets" math tutorial? People who liked the "Operations with Sets" tutorial found the following resources useful:
- Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
- Sets Revision Notes: Operations with Sets. Print the notes so you can revise the key points covered in the math tutorial for Operations with Sets
- Sets Practice Questions: Operations with Sets. Test and improve your knowledge of Operations with Sets with example questins and answers
- Check your calculations for Sets questions with our excellent Sets calculators which contain full equations and calculations clearly displayed line by line. See the Sets Calculators by iCalculator™ below.
- Continuing learning sets - read our next math tutorial: Sets Definition and Notation. Representing Sets
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