In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion (or sometimes containment). A is a subset of B may also be expressed as B includes (or contains) A or A is included (or contained) in B. A k-subset is a subset with k elements. The subset relation defines a partial order on sets. In fact, the subsets of a given set form a Boolean algebra under the subset relation, in which the join and meet are given by intersection and union, and the subset relation itself is the Boolean inclusion relation. (Wikipedia).
This video defines and give the notation used for subsets and proper subsets. http://mathispower4u.com
From playlist Sets
Math subsets are an important concept to understand. So what is the subset definition in math? What is a subset? We go over that part of set theory in this video as well as some details on the empty set and its subset properties. Enjoy! I hope you find this video helpful, and be sure to a
From playlist Set Theory
In this College Algebra video, Tori explains the definition of a subset and gives a few examples.
From playlist Basics: College Algebra
Why Every Set is a Subset of Itself | Set Theory
Why is every set a subset of itself? That's what we'll go over in today's set theory video lesson! Let A and B be sets, then A is a subset of B if and only if every element of A is also in B. Certainly every element of A is in A, thus A is a subset of itself for any set A. A proper sub
From playlist Set Theory
Introduction to Subsets (new version available)
This video defines and give the notation used for subsets and proper subsets. https://youtu.be/mqBDYTcpAA0 The new version fixed an error in the audio.
From playlist Set Theory
Find How Many Sets Are a Subset of a Given Set and Have a Given Subset
This video explains how to determine how many sets are a subset of a given set and has a given subset.
From playlist Sets (Discrete Math)
Determine How Many Subsets Meet Various Conditions (1)
This lesson provides examples of how to determine the number of subsets of a given set under various conditions.
From playlist Counting (Discrete Math)
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
Find All Subsets of a Set (Example Problems) | Set Theory Exercises
How do you find all subsets of a given set? We go over eight subset example problems in today's lesson, including sets with the empty set, the empty set itself, sets with strange elements like the real numbers and the rationals, and more. We also briefly mention power sets, and the number
From playlist Set Theory
How Many Proper Subsets Does a Set Have? | Set Theory
How many proper subsets does a given set have? We'll go over the solution and reasoning in today's set theory lesson! Finding the number of subsets of a set: https://www.youtube.com/watch?v=mXlsbnP0_TU Proper subsets vs improper subsets: https://www.youtube.com/watch?v=06PsJYcl2dc List s
From playlist Set Theory
Finding Power Set Examples | Set Theory, Subsets and Power Sets
How do we find the power set of a set? That's what we'll go over in today's set theory video lesson with 4 examples! Remember the power set of a set S is the set P(S) consisting of all subsets of S. Don't forget to include the empty set and the set S itself! Also recall that the cardinali
From playlist Set Theory
Is Subset an Equivalence Relation? | Set Theory
Is the subset relation on all sets and equivalence relation? If so, it must be reflexive, symmetric, and transitive! We'll prove in today's set theory lesson that subset is a reflexive relation and a transitive relation, but it is not symmetric. If A is a subset of B, we cannot conclude th
From playlist Set Theory
How many subsets in a set? (1 of 2: Induction proof)
More resources available at www.misterwootube.com
From playlist The Nature of Proof
Facebook Coding Interview Question and Answer #1: All Subsets of a Set
Find and print all subsets of a given set! (Given as an array.) Is there any other interview question you'd like me to cover in the future? You can (anonymously) let me know at: www.csdojo.io/contribute
From playlist Coding Interview Questions and Answers
Counting Subsets and Subsets of a Specific Cardinality
This video introduces the formulas used to determine the number of subsets of a given set and to determine the number of subsets with a given cardinality.
From playlist Counting (Discrete Math)
Power Set of the Math Set {m, a, t, h} | Set Theory
We find the power set of the set {m, a, t, h}, going over strategies and the general method to use for finding power sets. #SetTheory Recall the power set of a set S, P(S), is the set of all subsets of S. Thus, the cardinality of the power set of S is the number of subsets of S, which is
From playlist Set Theory