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

Basic operations for complex numbers, Now we have to discuss the basic oper...

Now we have to discuss the basic operations for complex numbers. We'll begin with addition & subtraction. The simplest way to think of adding and/or subtracting complex numbers is

Determine the other two sides of the triangle, The radius of the in circle ...

The radius of the in circle of a triangle is 4cm and the segments into which one side is divided by the point of contact are 6cm and 8cm.  Determine the other two sides of the tria

Solution of linear equation, Solution of Linear Equation How to solve ...

Solution of Linear Equation How to solve a linear equation? Please assist me.

Calculate plurality voting and borda count, Consider the following set of p...

Consider the following set of preference lists:                                                      Number of Voters (7)                 Rank            1          1

Find the values of a and b, The midpoint of the line joining (2a, 4) and (...

The midpoint of the line joining (2a, 4) and (-2, 3b) is (1, 2a +1).Find the values of a & b. (Ans: a = 2, b = 2) Ans :   A(2a, 4)           P(1, 2a + 1)                 B(-2,

How much time does larry spend on his dog each day, Larry spends 3/4 hour t...

Larry spends 3/4 hour twice a day walking and playing with his dog. He also spends 1/6 hour twice a day feeding his dog. How much time does Larry spend on his dog each day? Add

Permission for xii class, Is there any class in expertsmind for second year...

Is there any class in expertsmind for second year english.?

Continuous Probability Distributions, Ask questioOn average, Josh makes thr...

Ask questioOn average, Josh makes three word-processing errors per page on the first draft of his reports for work. What is the probability that on the next page he will make a) 5

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