Intersection of Sets - Definition & Examples
Read this topicExplanations 5
- The intersection of sets is the elements that they share A∩BA \cap BA∩B is read as "AAA intersection BBB". The intersection of sets AAA and BBB contains all the elements that ar…
By Vinitha Ranganeni, Moor Xu, Zora Gilbert, Alex Federspiel, Caroline K, Jonathan Heller, Anusha Rahman
- Intersection of Sets Let's say we have two sets, AAA and BBB. The intersection of sets AAA and BBB includes all of the values that are shared between them. Think of it like a Ve…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Jonathan Heller, Anusha Rahman
- Intersection of Sets The intersection of two (or three, or four, or more) sets contains the elements common to all of the sets. The intersection of sets is a set, itself! The in…
By Caroline , Victor Wang, Caroline K, Alex Federspiel, Jonathan Heller, Anusha Rahman
- Sometimes, you might get a problem like this: ‘‘x``x‘‘x and yyy are real numbers such that {2x+3}∩{4x−1}={y}\{2x + 3\} \cap \{4x -1\} = \{y\}{2x+3}∩{4x−1}={y}. Find y."y."y." Ho…
By Caroline K, Alex Federspiel, Anusha Rahman
- (Video) Sets: Union and Intersection by patrickJMT This video by PatrickJMT explains unions and intersections of sets. Summary\large{\text{Summary}}Summary The union of two sets…
By Alex Federspiel, Jonathan Heller, Caroline K, Anusha Rahman
Problems 27
- Out of the 100100100 students in Southwest High School, 606060 students take Latin and 454545 students take Differential Equations. For some reason, at this school, students hav…
- What is the intersection of {1,2,3}\{1,2,3\}{1,2,3} and {2,3,8,9}\{2,3,8,9\}{2,3,8,9}?
- What is the intersection of {1,2,3}\{1,2,3\}{1,2,3} and {4,5,6,7}\{4,5,6,7\}{4,5,6,7}?
- What is the intersection of Z\mathbb{Z}Z (set of integers) and N\mathbb{N}N (set of natural numbers)?
- What is the intersection of R\mathbb{R}R (set of real numbers) and Q\mathbb{Q}Q (set of rational numbers)?
- What is the intersection of Q\mathbb{Q}Q (the set of rational numbers) and {π,2.5,7.8,10}\{\pi,2.5,7.8,10\}{π,2.5,7.8,10}?
- You take a survey at a farmer's market, and discover that 40%40\%40% of the people who like apples also like pears, while 80%80\%80% of the people who like pears also like apple…
- xxx and yyy are real numbers such that {3x+5}∩{2x+8}={y}\{3x + 5\} \cap \{2x + 8\} = \{y\}{3x+5}∩{2x+8}={y}. Find yyy.
- 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…
- Sean plays the piano, guitar, and drums. Noah also plays the piano, guitar, and drums. Which set is the intersection of the set of instruments Sean plays and the set of instrume…
- One box of crayons contains yellow, red, blue, and green. A second box, has orange, red, black, and green. What is the intersection of the sets of colors in each box?
- The soccer team: Jen, Dawson, Skylar, Mihkalia The baseball team: Juan, Dawson, Bobby, Jen What is the intersection of the soccer team and the baseball team?
- Ashley and Rajaab each own farms. Ashley has a sheep, a horse, and a cow. Rajaab has a pig, a chicken, and a cow. Which set is the intersection of Rajaab's and Ashley's farm ani…
- Out of the 100100100 students in Northwest High School, 808080 students take English and 303030 students take Dance. For some reason, at this school, students have to take Engli…
- What fruits and/or veggies are in the intersection of these 333 sets? In other words, what fruits and/or veggies did they all have in their smoothies?
- What is in the intersection of the two sets?
- What is the intersection of A,B,CA, B, CA,B,C?
- A dance studio currently offers two types of dance classes for teenagers: Jazz and Hip-hop. A total of 303030 teenagers are taking classes at the dance studio. 202020 are taking…
- True or False\text{True or False}True or False === Suppose there is a set AAA and a set BBB. Then A∩BA\cap BA∩B is a subset of AAA.
- True or False\text{True or False}True or False === If two sets have no elements in common, then their intersection will be the empty set.
- 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 intersec…
- Write the intersection of the following two sets in roster form: A={x2:x is any natural number.}A =\{\frac{x}{2}:x \text{ is any natural number.} \}A={2x:x is any natural numbe…
- What is not in the intersection of the following sets: A={2,3,5,7,8,9}A=\{2,3,5,7,8,9\}A={2,3,5,7,8,9} B={x where x is positive and even.}B=\{x \text{ where }x\text{ is positive…
- There are 300300300 students in a high school. 100100100 students enjoy learning about math, 180180180 students enjoy learning about science, and 505050 students enjoy learning …
- Let set A={Natural numbers that are multiples of 5}A= \{\text{Natural numbers that are multiples of 5}\}A={Natural numbers that are multiples of 5} and set B={Natural numbers th…
- Let set A={All natural numbers that are multiples of 3 and less than 16}A = \{\text{All natural numbers that are multiples of 3 and less than 16}\}A={All natural numbers that ar…