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

Definition of inverse functions, Definition of inverse functions :  Given...

Definition of inverse functions :  Given two one-to-one functions f ( x ) and g ( x ) if ( f o g ) ( x ) = x  AND  ( g o f ) ( x ) = x then we say that f ( x ) & g ( x ) are i

Find the 20th term of arithmetic progressions, Find the 20 th term from th...

Find the 20 th term from the end of the AP 3, 8, 13........253. Ans:    3, 8, 13 .............. 253 Last term = 253 a20 from end = l - (n-1)d 253 - ( 20-1) 5 253

Explain simple classification and chance and probability, E1) From your exp...

E1) From your experience, and what you have studied so far, by which age would-you expect an average child to be ready to acquire the following concepts? i) Simple classificatio

Determine the direction cosines and direction angles, Determine or find out...

Determine or find out the direction cosines and direction angles for a = (2, 1, -4) Solution We will require the magnitude of the vector. ||a|| = √ (4+1+16) = √ (21)

Estimate the area of this field in terms of x and y, Jonestown High School...

Jonestown High School has a soccer field whose dimensions can be expressed as 7y 2 and 3xy. What is the area of this field in terms of x and y? Since the area of the soccer ?e

Surds and logarithms, what are these all about and could i have some exampl...

what are these all about and could i have some examples of them please

Show frequency tables, Q. Show Frequency Tables? Ans. A frequency ...

Q. Show Frequency Tables? Ans. A frequency table is used to show how often a piece of data occurs. Example: Michelle decides to keep track of the number of phone call

Who made clothes for, on april 26, jonh dough wrote a check#374 to Miller P...

on april 26, jonh dough wrote a check#374 to Miller Pharmacy for $16.00 , is this a deposit or withdrawal

The multiplication algorithm, THE MULTIPLICATION ALGORITHM :  Some Class 3...

THE MULTIPLICATION ALGORITHM :  Some Class 3 children in a nearby school had been taught the standard multiplication. Algorithm, and had even done reasonably well in the tests bas

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