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Math Worksheets

What Are Sets? How to use Sets in Math? Here we have a comprehensive collection of lessons on sets and set theory in math.

We often deal with groups or collection of objects in real life, such a set of books, a group of students, a team of basketball players, a list of states in a country, a collection of baseball cards, etc.

**Sets** may be thought of as a mathematical way to represent collections or groups of objects. The
concept of sets is an essential foundation for various other topics in mathematics.

This series of lessons cover the essential concepts of math set theory - the basic ways of describing sets, use of set notation, finite sets, infinite sets, empty sets, subsets, universal sets, complement of a set, basic set operations including intersection and union of sets, using Venn diagrams and simple applications of sets.

Sets | ||
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Introduction to sets | Set Operations | Lessons about Sets |

Lectures about sets | Sets Worksheets | Math Worksheets |

Describing Sets

Set Notation

Finite & Infinite Sets

Empty Set Or Null Set

Set Equality

Venn Diagrams

Subsets

Universal Set

Complement Of A Set

Intersection of Two Sets

Intersection of Three Sets

Complement of an Intersection

Union Of Sets

Combined Operations Of Sets

Drawing Venn Diagrams

De Morgan’s Theorem

Shading Venn Diagrams

Set Notation

Roster method, set-builder notation, Venn diagrams

Universal Sets & Subsets

Sets, universal sets, subsets, equal sets, disjoint sets

Set Operations

union, intersection, complement

Venn Diagrams I

Venn Diagrams to represent Union, Intersection and Complement

Venn Diagrams II

Venn diagrams with 3 sets and 2 sets

Venn Diagram Word Problems

How to solve word problems using Venn Diagrams?

These are at an advanced level, suitable for undergraduate studies.

Definition of a Set

Russell’s paradox, logical implications, converse, contrapositive, truth tables

Operations on Sets

The concept of negation, union, intersection, complement, difference, symmetric difference

De Morgan’s law & Logic

What is De Morgan’s Law and proof of De Morgan’s Law

Power Sets

The Power Set And Investigating How Many Elements The Power Set Has.

Set Notations

A quiz to test your knowledge of set notations: intersection, union, subset, etc.

Elements in a Set

Determine whether an element is a member of a given set and the number of members in a given set.

Types of Sets

Determine whether a given set is an infinite set, finite set or empty set.

Subsets

Distinguish between subsets and proper subsets. Find the number of subsets in a given set.

Complement of a Set

Universal set, complement of a set, and subsets.

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

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