Union of Sets - Definition & Examples
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- The union of two sets, AAA and BBB, consists of all those elements that are in at least one of those sets. The union is written as A∪BA \cup BA∪B. Here's a simple example: A={1,…
By Elena Koslover, Zora Gilbert, Alex Federspiel, Victor Wang
- (Video) Sets: Union and Intersection by PatrickJMT This video by PatrickJMT covers set union and set intersection. Summary\large{\text{Summary}}Summary The most important thing …
By Stefan Cuevas, Zora Gilbert, Alex Federspiel, Amy Feraco, Jonathan Heller, Caroline K
- Union of Sets The union of two (or three, or four, or more) sets contains the elements common to any of the sets. The union of sets is a set, itself! The union of sets AAA and B…
By Caroline K, Alex Federspiel, Jonathan Heller
Problems 22
- In Northeast High School, 404040 students take Art, 505050 students take Music, and 606060 students take Computer Science. Each student is allowed to select up to three of these…
- What is the union of {1,2,3}\{1,2,3\}{1,2,3} and {3,4,5}\{3,4,5\}{3,4,5} in correct roster form?
- What is the union of Z\mathbb{Z}Z (set of integers) and N\mathbb{N}N (set of natural numbers)?
- What is the union of Q\mathbb{Q}Q (set of rationals) and I\mathbb{I}I (set of irrationals)?
- What is {1,2,3}∪{2,3,4,5,6}\{1,2,3\}\cup\{2,3,4,5,6\}{1,2,3}∪{2,3,4,5,6}?
- What is ∅∪{1,2,3,4},\emptyset \cup \{1,2,3,4\},∅∪{1,2,3,4}, where ∅\emptyset∅ is the empty set (the set with no elements)?
- Sets AAA and BBB have the same number of elements. If their union has 201620162016 elements and their intersection has 100010001000 elements, how many elements are in the set AA…
- Let A={1,3,4,6,7}A = \{1, 3, 4, 6, 7\}A={1,3,4,6,7}, B={2,7,4}B = \{2, 7, 4\}B={2,7,4}, and C={5,7,2}C = \{5, 7, 2\}C={5,7,2}. Which elements are in (A∩B)∪C(A \cap B) \cup C(A∩B…
- One box of crayons contains red, blue, and green. A second box, has orange, black, and yellow. What is the union of the sets of colors in each box?
- Ashley and Rajaab each own farms. Ashley has a sheep, a horse, and cow. Rajaab has a pig, a chicken, and a cow. Which set is the union of Rajaab's and Ashley's farm animals?
- The soccer team: Jen, Dawson, Skylar, Mihkalia The baseball team: Juan, Dawson, Bobby, Jen What is the union of the soccer team and the baseball team?
- Rodger takes the union of {1,3,5}\{1,3,5\}{1,3,5} and {1,2,3}.\{1,2,3\}.{1,2,3}. He finds that the union is {1,2,3,3,5}.\{1,2,3,3,5\}.{1,2,3,3,5}. Did he make a mistake? If so w…
- What is the union of {1,2,3,4,5,6,7,8,9}\{1,2,3,4,5,6,7,8,9\}{1,2,3,4,5,6,7,8,9} and {10,11,12,13,14,15,16}?\{10,11,12,13,14,15,16\}?{10,11,12,13,14,15,16}?
- What is {2,3,4,5}∪{4,5,6}\{2,3,4,5\}\cup\{4,5,6\}{2,3,4,5}∪{4,5,6}?
- Sean plays the piano, guitar, and drums. Noah also plays the piano, guitar, and drums. Which set is the union of the set of instruments Sean plays and the set of instruments Noa…
- Is it true that the number of elements in a random set AAA plus the number of elements in a random set BBB equals to the number of elements in A∪BA\cup BA∪B?
- True or False\text{True or False}True or False === If two nonempty sets have no elements in common then their union will be the empty set.
- True or False\text{True or False}True or False === Suppose you roll a six sided dice six times. Each roll you make a set containing that one number. The union of six of these se…
- True or False\text{True or False}True or False === Suppose you have a set AAA and a set BBB. Then set A∪BA\cup BA∪B contains the elements in AAA.
- Set NNN is defined as the set of natural numbers. Set AAA is defined as the following: {x:0<x≤5}\{ x: 0<x\leq 5 \}{x:0<x≤5} Which of the following numbers are not in the union o…
- How many elements are in the union of the two following sets? A={−3,−2.2,−1,0,1,4,5,7}A=\{-3, -2.2, -1, 0, 1, 4, 5, 7\}A={−3,−2.2,−1,0,1,4,5,7} B={−4,−3.2,−3,0,1,2,3,4,5}B=\{-4,…
- Which will have more elements: (A∪B)∪C(A\cup B)\cup C(A∪B)∪C or (C∪A)∪B(C\cup A)\cup B(C∪A)∪B?