Question

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

Homework Answers

Answer #1

Any queries just comment

Like my effort

Thank you and all the best

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
Consider the relation R= {(1,2),(2,2),(2,3),(3,1),(3,3)}. Is R transitive, not reflexive, symmetric or equivalence relation?
Consider the relation R= {(1,2),(2,2),(2,3),(3,1),(3,3)}. Is R transitive, not reflexive, symmetric or equivalence relation?
Show that the relation R={(1,1),(1,4),(2,2),(2,3),(3,3),(3,2),(4,1),(4,4)} is an equivalence relation and contrust the associated directed graph.
Show that the relation R={(1,1),(1,4),(2,2),(2,3),(3,3),(3,2),(4,1),(4,4)} is an equivalence relation and contrust the associated directed graph.
Question 1: Roll two fair dice. Then the sample space S is the following. S =...
Question 1: Roll two fair dice. Then the sample space S is the following. S = (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) Let E be the event that the sum of the dice is odd, let F be the event that the first die lands on 1, and let G...
1. Two dice are rolled. There are 36 possible outcomes, the sample space is: (1,1) (1,2)...
1. Two dice are rolled. There are 36 possible outcomes, the sample space is: (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) A = ‘second roll is a 6’ B = ‘sum of two dice equals 7’ C = ‘sum of two dice equals 3’ a. What is P(B|A)? b. What is...
2. Consider a ten-sided die of which the sides display the numbers 1, 2, 3, and...
2. Consider a ten-sided die of which the sides display the numbers 1, 2, 3, and 4 according to this table: side of die 1 2 3 4 5 6 7 8 9 10 number displayed 1 1 1 1 2 2 2 3 3 4 Rolling two such dice is an experiment with the sample space S =       (1,1) (1,2) (1,3) (1,4) (2,1) (2,2) (2,3) (2,4) (3,1) (3,2) (3,3) (3,4) (4,1) (4,2) (4,3)...
9K)Below is a list of all possible outcomes in the experiment of rolling two die. (If...
9K)Below is a list of all possible outcomes in the experiment of rolling two die. (If the grid pops up twice, pay attention to only one table. Having formatting issues, apologies! And thank you for your help! 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 Determine the following probabilities. Write your answers...
Determine whether the given statement is true or false. Explain your answer. (a) If R is...
Determine whether the given statement is true or false. Explain your answer. (a) If R is an antisymmetric relation, then R is not symmetric. (b) If John Jay College was founded in 1997, then the moon is made of cheese. ( c) ∀x∃y(x divides y) where the domain of discourse for both variables is {2, 3, 4, 5, 6}. (d) ∃x∀y(x divides y) where the domain of discourse for both variables is {2, 3, 4, 5, 6}. (e) ∀n(3n ≤...
Relations and Functions Usual symbols for the above are; Relations: R1, R2, S, T, etc Functions:...
Relations and Functions Usual symbols for the above are; Relations: R1, R2, S, T, etc Functions: f, g, h, etc. But remember a function is a special kind of relation so it might turn out that a Relation, R, is a function, too. Relations To understand the symbolism better, let’s say the domain of a relation, R, is A = { a, b , c} and the Codomain is B = { 1,2,3,4}. Here is the relation: a R 1,    ...
1. Write the following sets in list form. (For example, {x | x ∈N,1 ≤ x...
1. Write the following sets in list form. (For example, {x | x ∈N,1 ≤ x < 6} would be {1,2,3,4,5}.) (a) {a | a ∈Z,a2 ≤ 1}. (b) {b2 | b ∈Z,−2 ≤ b ≤ 2} (c) {c | c2 −4c−5 = 0}. (d) {d | d ∈R,d2 < 0}. 2. Let S be the set {1,2,{1,3},{2}}. Answer true or false: (a) 1 ∈ S. (b) {2}⊆ S. (c) 3 ∈ S. (d) {1,3}∈ S. (e) {1,2}∈ S (f)...
using mysql lyrics.database. i will provide the lyrics schema database info below 1. List the first...
using mysql lyrics.database. i will provide the lyrics schema database info below 1. List the first name, last name, and region of members who do not have an email. 2. List the first name, last name, and region of members who do not have an email and they either have a homephone ending with a 2 or a 3. 3. List the number of track titles that begin with the letter 's' and the average length of these tracks in...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT