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

Horizontal asymptote, The horizontal asymptote of (16x+7)(x^2-5)/(x^2+36).

The horizontal asymptote of (16x+7)(x^2-5)/(x^2+36).

Probability, The probability that a leap year will have 53 sunday is ? and ...

The probability that a leap year will have 53 sunday is ? and how please explain it ? (a)1/7    (b) 2/7    (c) 5/7    (d)6/7 Sol) A leap year has 366 days, therefore 52 weeks i.e

Prove that its inclination is given by cot = b cot - a, Two stations due...

Two stations due south of a leaning tower which leans towards the north are at distances a and b from its foot.  If α ,  β be the elevations of the top of the tower from these

Utilizes the infinite definition of the limit to prove limit, Utilizes the ...

Utilizes the definition of the limit to prove the given limit. Solution Let M > 0 be any number and we'll have to choose a δ > 0 so that, 1/ x 2   > M

Laplace transforms, In this section we will be searching how to utilize Lap...

In this section we will be searching how to utilize Laplace transforms to solve differential equations. There are various types of transforms out there into the world. Laplace tran

Relative measures of dispersion-illustration, Illustration 2 In a ...

Illustration 2 In a described farm located in the UK the average salary of the employees is £ 3500 along with a standard deviation of £150 The similar firm has a local

Geometry Question, Does the Angle-Side Relationship Theorm work for all tri...

Does the Angle-Side Relationship Theorm work for all triangles or just a certain type of triangle? Does is correspond with the orthocenter of a triangle?

two women may stand behind each othe, How many ways can six men and three ...

How many ways can six men and three women form a line if no two women may stand behind each other?

Surds, solve for x: logx9

solve for x: logx9

What is a function, What is a Function, Anyway? Domain? Range? Next tim...

What is a Function, Anyway? Domain? Range? Next time you're at a fast-food restaurant, take a look at the price list. It may look something like this: • Hamburger.............

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