Question: Let S be equivalence relation defined on {x : x ? R and 0 ? x ? 5} defined by xSy if and only if

Let S be equivalence relation defined on {x : x ? R and 0 ? x ? 5} defined by xSy if and only if ?x? = ?y?. Write down the equivalence classes of S.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

1. Let R be a relation defined on the set Z by aRb if a

Q:

Solve for Descrete Math: Q1 i . State the definition of relation from a set A to another set B. ii. What is meant by a relation on a set A? iii. Write definitions of reflexive, symmetric,...

Q:

11. Write out the cycle decomposition of the eight permutations in $4 corresponding to the elements of Dg given by the action of Dg on the vertices of a square (where the vertices of the square are...

Q:

2. [2 marks]. Prove or disprove the equality x + (y (B 2) = (x + y) (B (x + z) for the Boolean variables x. y, and z. 3. [3 marks]. Suppose that there are 5 members on a committee. Albert and Billy....

Q:

Let T be the set { w { 0 , 1 } | | w | 3 } . Let R be the equivalence relation defined on T as follows:R = { ( x , y ) | x T , y T , n 0 ( x ) n 1 ( x ) = n 0 ( y ) n 1 ( y ) } , where n 0 ( x )...

Q:

Can you please solve these 5 problems thank you 11. Prove or provide a counterexample. Let A = {a1, a2, a3, a4} and B = {b1, b2, b3}. Define f : A -> B by f(a1) = b1, f(a2) = b1, f (a3) = b2, and f...

Q:

Let be the equivalence relation on R 2 that is defined as: For two points (x1, y1) and (x2, y2) in R 2 , we write (x1, y1) (x2, y2) if and only if there is an integer k such that x1 x2 = k, y1 = (1)k...

Q:

need help with this This is secretly asking you for a proof, but you may treat it as a writing assignment if that helps you think through the problem better. Let A C X and x an equivalence relation R...

Q:

Description of assignment: The data presented in this assignment is stored in the file named Veneer.csv located in the Assignment 3 folder in the Topic 8 section of LMS. A study was conducted on...

Q:

1.Let R be the "greater than" relation on the set of integers, formally defined as follows: for all x, y Z, x R y x > y. Please show your work to determine whether or not the given relation is: (a)...

Q:

For = {0, 1}, let A * be the language defined recursively as follows: (1) The symbols 0,1 are both in A - this is the base for our definition; and (2) For each word x in A, the word 0 1 is also in...

Q:

Construct an ogive for the following data. Class Interval ...... Frequency 3under 6 ......... 2 6under 9 ........ 5 9under 12 ........ 10 12under 15 ........ 11 15under 18 ........ 17 18under 21...

Q:

Stephen transferred $ 2 8 , 6 2 5 to an irrevocable trust for Graham. The trustee has the discretion to distribute income or corpus for Graham's benefit but is required to distribute all assets to...

Q:

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

Q:

___ 21. I am most fulfilled in my career when I have been able to build something that is entirely the result of my own ideas and efforts.

Q:

___ 19. I will feel successful in my career only if I achieve complete autonomy and freedom.

Q:

___ 20. I seek jobs in organizations that will give me a sense of security and stability.