Prove that r is an equivalence relation, Mathematics

Assignment Help:

1. Let S be the set of all nonzero real numbers. That is, S = R - {0}. Consider the relation R on S given by xRy iff xy > 0.

(a) Prove that R is an equivalence relation on S, and describe the distinct equivalence classes of R.

(b) Why is the relation R2 on S given by xR2y iff xy < 0 NOT an equivalence relation?


Related Discussions:- Prove that r is an equivalence relation

Can u please tell me how to solve, a triangle with side lengths in the rati...

a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius 3.what is the area of the triangle.

Statistics, the median of a continuous frequency distribution is 21.if each...

the median of a continuous frequency distribution is 21.if each observation is increased by 5. find the new median

Straight Line, can i known the all equations under this lesson with explana...

can i known the all equations under this lesson with explanations n examples. please..

Geometry, #question.onstruct/draw geometric shapes with specific condition....

#question.onstruct/draw geometric shapes with specific condition.

Perceny, 72 is 75% what number

72 is 75% what number

Immediate predecessor of mahavira, The twenty-third Jaina teacher, Parsva, ...

The twenty-third Jaina teacher, Parsva, the immediate predecessor of Mahavira enjoined on his disciples four great vows. To these Mahavira addes which of the followings as the fift

Find the value of ((a+b)/(a-b)) , If arg (a/b) = pi/2, then find the value ...

If arg (a/b) = pi/2, then find the value of ((a+b)/(a-b)) where a,b are complex numbers. Ans) Arg (a/b) =Pi/2 Tan-1   (a/b)=   Pi/2 A/B = tanP/2 ,therefore a/b=infinity.

Division Remainders, what is the remainder when 75 is divided by 4

what is the remainder when 75 is divided by 4

Determine the solution to the differential equation, Determine the solution...

Determine the solution to the subsequent differential equation. dv/dt = 9.8 - 0.196v Solution Initially we require finding out the differential equation in the accurate

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