Explain set intersection, Mathematics

Assignment Help:

Q. Explain Set Intersection?

Ans.

Set Intersection
Suppose your school needs to know which students are taking both art and business this year. If A is the set of students taking art and B is the set of students taking business, then the students who are taking both classes are common to A and B, or the intersection of A and B.

988_Explain Set Intersection.gif

The intersection of two sets A and B, written A ∩ B, is the set of all elements which are common to both A and B. This can be written as. 

A ∩ B = { x| x ∈ A and x ∈ B }

The key word in this definition is and. The elements must be in both A and B.


Related Discussions:- Explain set intersection

Describe about absolute values, Describe about Absolute Values ? When a...

Describe about Absolute Values ? When an integer is written with a vertical line on each side of the integer, it is called the absolute value of that integer. For example,

Conscious consumer, I am comparing building a house and buying a house. whi...

I am comparing building a house and buying a house. which one of the option you would choose.

Function notation, Now we need to move onto something called function notat...

Now we need to move onto something called function notation.  Function notation will be utilized heavily throughout most of remaining section and so it is important to understand i

Slope, how would I graph the equation 2x-5y=5?

how would I graph the equation 2x-5y=5?

Union and intersection - set theory, Union and Intersection - Set theory ...

Union and Intersection - Set theory B ∩ C indicates the intersection of B and C. it is the set having all those elements that belong to both B and C If B = {5, 8, 11, 20, 2

Multiplication in decimal notations., Consider the following multiplication...

Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution) a=8 b=6 c=8 d=8 e=6 f=7 In other words, 999 * 877 = 8

Empty set or null set, Empty Set or Null Set It is a set which having ...

Empty Set or Null Set It is a set which having no elements. It is usually designated by a Greek letter Ø, or else { }. The sets Ø and { Ø } are not the same thing since the

Example of inverse matrix, Determine the inverse of the following matrix, i...

Determine the inverse of the following matrix, if it exists. We first form the new matrix through tacking onto the 3 x 3 identity matrix to this matrix.  It is, We

Exponential and logarithm equations, Exponential and Logarithm Equations ...

Exponential and Logarithm Equations : In this section we'll learn solving equations along with exponential functions or logarithms in them. We'll begin with equations which invol

Graph, Graph A graph G = (V, E) contains a (finite) set that is denote...

Graph A graph G = (V, E) contains a (finite) set that is denote by V, or by V(G) if one wishes to make clear which graph is under consideration, and a collection E, or E(G), o

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd