Question

There is no equivalence relation R on set {a, b, c, d, e} such that R...

There is no equivalence relation R on set {a, b, c, d, e} such that R contains less than 5 ordered pairs (True or False)

Homework Answers

Answer #1


12

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let R be a relation on set RxR of ordered pairs of real numbers such that...
Let R be a relation on set RxR of ordered pairs of real numbers such that (a,b)R(c,d) if a+d=b+c. Prove that R is an equivalence relation and find equivalence class [(0,b)]R
2. Define a relation R on pairs of real numbers as follows: (a, b)R(c, d) iff...
2. Define a relation R on pairs of real numbers as follows: (a, b)R(c, d) iff either a < c or both a = c and b ≤ d. Is R a partial order? Why or why not? If R is a partial order, draw a diagram of some of its elements. 3. Define a relation R on integers as follows: mRn iff m + n is even. Is R a partial order? Why or why not? If R is...
Given a relation R(A, B, C, D, E) with the following FD Set FD = {...
Given a relation R(A, B, C, D, E) with the following FD Set FD = { A→C, B→C, C→D, DE→A, CE→A} Suppose we decompose it into R1(A, D), R2(A, B), R3(B, E), R4(C, D, E) and R5(A, E), is it a lossless decomposition? Show your proof.
Let R be the relation on the set of real numbers such that xRy if and...
Let R be the relation on the set of real numbers such that xRy if and only if x and y are real numbers that differ by less than 1, that is, |x − y| < 1. Which of the following pair or pairs can be used as a counterexample to show this relation is not an equivalence relation? A) (1, 1) B) (1, 1.8), (1.8, 3) C) (1, 1), (3, 3) D) (1, 1), (1, 1.5)
Let A=NxN and define a relation on A by (a,b)R(c,d) when a⋅b=c⋅d a ⋅ b =...
Let A=NxN and define a relation on A by (a,b)R(c,d) when a⋅b=c⋅d a ⋅ b = c ⋅ d . For example, (2,6)R(4,3) a) Show that R is an equivalence relation. b) Find an equivalence class with exactly one element. c) Prove that for every n ≥ 2 there is an equivalence class with exactly n elements.
A relation R on a set A is called circular if for all a,b,c in A,...
A relation R on a set A is called circular if for all a,b,c in A, aRb and bRc imply cRa. Prove that a relation is an equivalence relation iff it is reflexive and circular.
Define a relation on N x N by (a, b)R(c, d) iff ad=bc a. Show that...
Define a relation on N x N by (a, b)R(c, d) iff ad=bc a. Show that R is an equivalence relation. b. Find the equivalence class E(1, 2)
Determine whether the given relation is an equivalence relation on {1,2,3,4,5}. If the relation is an...
Determine whether the given relation is an equivalence relation on {1,2,3,4,5}. If the relation is an equivalence relation, list the equivalence classes (x, y E {1, 2, 3, 4, 5}.) {(1,1), (2,2), (3,3), (4,4), (5,5), (1,3), (3,1), (3,4), (4,3)} If the relation above is not an equivalence relation, state that the relation is not an equivalence relation  and why. Example: "Not an equivalence relation. Relation is not symmetric" Remember to test all pairs in relation R
List all the ordered pairs in the relation R = {(a, b) | b divides a}...
List all the ordered pairs in the relation R = {(a, b) | b divides a} on the set {1, 2, 3, 4, 5, 6}
Let P be the set of all ordered pairs (a, b) where a and b are...
Let P be the set of all ordered pairs (a, b) where a and b are real numbers. Let us define a two-place relation ≡ on P by (a, b) ≡ (c, d) if and only if a^2 − c^2 = 2b − 2d where (a, b) and (c, d) belong to P. Prove that ≡ is an equivalence relation on P. Draw a diagram on the X × Y plane of the equivalence class that contains the point (2,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT