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

International marketing, what are challenges and solution of international ...

what are challenges and solution of international marketing

Find the volume of water left in the cylindrical tub, A solid is in the for...

A solid is in the form of a right circular cone mounted on a hemisphere. The radius of the hemisphere is 3.5 cm and the height of the cone is 4 cm. The solid is placed in a cylindr

Domain and range of a relation, Consider R be a relation from A to B, that ...

Consider R be a relation from A to B, that is, take R A Χ B. Then Domain R = {a: a € A, (a, b) € R for any b € B} i.e. domain of R is the set of all the first components of

How far up the building will the ladder reach?, A rescue and ?re squad plac...

A rescue and ?re squad places a 15 ft ladder against a burning building. If the ladder is 9 ft from the base of the building, how far up the building will the ladder reach? a. 8

Integral calculus, I need help to understand: fxx for f(x,y)=x^2+y^2-2xy

I need help to understand: fxx for f(x,y)=x^2+y^2-2xy

Relative frequency definition, Relative Frequency  This type of probab...

Relative Frequency  This type of probability requires us to make some qualifications. We define probability of event A, occurring as the proportion of times A occurs, if we re

Determine the probability, An insurance company/organization takes a keen i...

An insurance company/organization takes a keen interest in the age at which a person is insured. Thus a survey conducted on prospective clients indicated that for clients having th

Sketch the feasible region, Sketch the feasible region for the following se...

Sketch the feasible region for the following set of constraints: 3y - 2x  ≥ 0 y + 8x  ≤  53 y - 2x  ≤  2 x  ≥ 3. Then find the maximum and minimum values of the objective

A single student is selected at random, The scores of students taking the A...

The scores of students taking the ACT college entrance examination are normally distributed with a mean µ = 20.1 and a standard deviation σ = 5.8. a)    A single student is sele

Which kevin gets paid is represented by x what does paid, Patrick gets paid...

Patrick gets paid three dollars less than four times what Kevin gets paid. If the number of dollars which Kevin gets paid is represented through x, what does Patrick get paid?

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