Subsets and Complements - Definition & Examples
Read this topicExplanations 4
- Let A,BA, BA,B be sets. We say that AAA is a subset of BBB (which we can write as A⊆BA \subseteq BA⊆B) if all the elements in AAA are also elements of BBB. We can write this all…
By Vinitha Ranganeni, Benjamin Qi, Cameron Montag, Zora Gilbert, Daniel Crawford, Alex Federspiel
- (Video) Subsets and Proper Subsets by HCCMathHelp In this video, HCCMathHelp explains how to find subsets and proper subsets. Summary\large{\text{Summary}}Summary Let's talk ter…
By Stefan Cuevas, Zora Gilbert, Alex Federspiel, Amy Feraco
- (Video) What is a Subset? by Don't Memorise This video by Don't Memorise covers sets and subsets with some real life examples. Summary\large{\text{Summary}}Summary Suppose that …
By Naomi Burgess, Alex Federspiel, Amy Feraco, Jonathan Heller, Anusha Rahman
- Subsets and Complements First, we'll discuss subsets; then, complements. Subsets Before we talk about subsets, you should get yourself familiar with sets themselves. A subset is…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Victor Wang, Amy Feraco, Jonathan Heller, Anusha Rahman
Problems 20
- Is the set of natural numbers N\mathbb{N}N a subset of the set of real numbers R\mathbb{R}R?
- Is the set of rational numbers Q\mathbb{Q}Q a subset of the set of integers Z\mathbb{Z}Z?
- True or False\text{True or False}True or False === {1,2,3}⊂{1,2,3,4}\{1,2,3\} \subset \{1,2,3,4\}{1,2,3}⊂{1,2,3,4}.
- Select all of the following that are subsets of the set HHH. H={1,2,3,4,5}H = \{1,2,3,4,5\}H={1,2,3,4,5}
- Is R\mathbb{R}R a subset of R\mathbb{R}R?
- Which of the following sets is a subset of N\mathbb{N}N, the set of natural numbers?
- Which sets contain the set of integers?
- The set of positive numbers is a subset of which set?
- The set of whole numbers is a subset of which sets?
- Let SSS be a subset of the integers 1,2,…,1001,2,\dots,1001,2,…,100 such that 3x∉S3x\notin S3x∈/S whenever x∈Sx\in Sx∈S. What is the largest possible size of SSS? (Hint: Conside…
- How many different subsets are there of the set {0,1}\{0, 1\}{0,1}?
- Find the subsets of {1,2}\{1,2\}{1,2}.
- If all high school students take math, and you are a high school student, this means that you
- Find the complement of Q\mathbb{Q}Q (set of rational numbers) within R\mathbb{R}R (set of real numbers).
- George, Raul, Sabrina, and Helen are on a baseball team. Rebecca, Ben and Tim are on a basketball team. What is a subset of the baseball team?
- Po had a very busy day! He went to work, ate lunch, taught his class, graded his tests, went to a meeting, rode his bike, made dinner, then read a book. Which is a subset of the…
- Jamaal owns an Ice Cream Shop. He sells vanilla, chocolate, mint, cookie, cake, and strawberry ice cream. Which of these is a subset of the flavors of ice cream?
- There are seven colors in the rainbow, remembered by ROY G BIV. Red, Orange, Yellow, Green, Blue, Indigo, Violet The set C = {Red, Green, Indigo}. What is the complement of C wi…
- Let S={1,2,3,4,5,6,7,8,9}S = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}S={1,2,3,4,5,6,7,8,9} and T={2,4,6,8}T = \{2, 4, 6, 8\}T={2,4,6,8}. What is the complement of TTT within SSS?
- How many subsets does {1,2,3,4}\{1,2,3,4\}{1,2,3,4} have?