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 prime factorization of 84, What is the prime factorization of 8...

What is the prime factorization of 84? This is the only answer choice which has only PRIME numbers. A prime number is a number along with two and only two distinct factors. In

Parametric equations and curves - polar coordinates, Parametric Equations a...

Parametric Equations and Curves Till to this point we have looked almost completely at functions in the form y = f (x) or x = h (y) and approximately all of the formulas that w

Arithmetic progression, the radii of circular base of right circular cylind...

the radii of circular base of right circular cylinder and cone are in the ratio of 3:4 and their height are in the ratio of the 2:3 what is the ratio of their volume?

Compound interest, Draw a flowchart for accumulated principal at the end of...

Draw a flowchart for accumulated principal at the end of 5 years by taking into account compound interest?

Identify the surface for the equation , Identify the surface for each of th...

Identify the surface for each of the subsequent equations. (a) r = 5 (b) r 2 + z 2 = 100 (c) z = r Solution (a)  In two dimensions we are familiar with that this

Homotopy, prove same homotopy type is an equivalent relation

prove same homotopy type is an equivalent relation

In the terms of x, The length of Kara's rectangular patio can be expressed ...

The length of Kara's rectangular patio can be expressed as 2x - 1 and the width can be expressed as x + 6. In the terms of x, what is the area of her patio? Since the area of a

Estimate round to the nearest tenth of an inch, One inch equals 2.54 centim...

One inch equals 2.54 centimeters. The dimensions of a table made in Europe are 85 cm huge by 120 cm long. What is the width of the table in inches? Round to the nearest tenth of an

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