Relations, Mathematics

Assignment Help:

Suppose A and B be two non-empty sets then every subset of A Χ B describes a relation from A to B and each relation from A to B is subset of AΧB.

Consider R : AΧB and (a, b) € R. then we can declare that a is associated to b by the relation R and write it as

a R b. If (a, b) ¢R, we write it as a      b.

Example  Let A {1, 2, 3, 4, 5}, B = {1, 3}

               We set a relation from A to B as: a R b iff a ≤ b; a € A, b € B. Then

               R ={(1, 1), (1, 3), (2, 3), (3, 3)}AΧB

 


Related Discussions:- Relations

What is the value of the largest consecutive integer, The sum of three cons...

The sum of three consecutive even integers is 102. What is the value of the largest consecutive integer? Three consecutive even integers are numbers in order such as 4, 6, and

Proof of the derivative of a constant, Proof of the Derivative of a Constan...

Proof of the Derivative of a Constant : d(c)/dx = 0 It is very easy to prove by using the definition of the derivative therefore define, f(x) = c and the utilize the definiti

The length of the rectangle, Suppose that the width of a rectangle is three...

Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 86 feet. a)  Set up an equation for the perimeter involving on

Set, What is the definition of Set?

What is the definition of Set?

Ratio, how can i solve it

how can i solve it

Example of implicit differentiation, Example of Implicit differentiation ...

Example of Implicit differentiation So, now it's time to do our first problem where implicit differentiation is required, unlike the first example where we could actually avoid

Real numbers on every line, Make a file called "testtan.dat" which has 2 li...

Make a file called "testtan.dat" which has 2 lines, with 3 real numbers on every line (some negative, some positive, in the range from-1 to 3).  The file can be formed from the edi

Why is vector division undefined, Division basically refers to multiplicati...

Division basically refers to multiplication of reciprocal. For example a/b is same as a*1/b or we can say, is same as a*b -1 , which is "a" multiplied to the inverse of "b". There

Class mid points and class interval or width, Class Mid points This i...

Class Mid points This is very significant values which mark the center of a provided class. They are acquired by adding together the two limits of a provided class and dividi

What is plotting points, What is Plotting Points? To "plot" or "graph" ...

What is Plotting Points? To "plot" or "graph" values means to find points on a number line. The numbers four, negative two, negative three, zero, two, and negative four are bei

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