Question: Let X = {1, 2, 3, 4 }. Consider the relation R on X, R = {(2, 2), (2, 3), (2, 4), (3, 2), (3,

Let X = {1, 2, 3, 4 }. Consider the relation R on X, R = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4) }. Which of the following statements about R is TRUE? Select one: O a. R is reflexive and symmetric but not transitive. O b. R is symmetric but not reflexive or transitive. O c. R is an equivalence relation. O d. R is transitive but not reflexive or symmetric. O e. R is neither reflexive, symmetric nor transitive

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 Mathematics Questions!

Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then R is (a) reflexive but not symmetric (b) reflexive but not transitive (c) symmetric and...

Induction (#1-3, 24 pts) #1 . Prove by induction that8 + 15 + 22 + 29 + ... +(7 n + 1) = n (7 n + 9)/2for all n N . #2. Prove the summation formula for the following particular finite geometric...

From Chapter 3 - Functions and Algorithms; select one problem from the Solved Problems list. Explain the problem and present the solution also explaining (in detail)each step and why the solution is...

Prove or give a counterexample: 1.1. If A B and B C, then A C. 2.If u is the universal set, then U \ A is denoted by AS and is called the complement of A. Prove that if A and B are subsets of a...

24) A function f : R - R is said to be odd if f(-x) = -f(x) for all x E R. The graph of f (x) is: symmetric about the x-axis. b) symmetric about the y-axis. c) symmetric about the origin. d) None of...

(16%) Let X = {1, 2, 3, 4, 5, 6, 7, 8} and Y = {9, 10, 11, 12, 13). Define: 9/2 12 R = (x,y) : (a) Write down all the objects in R? (b) Is R a relation from X to Y? Why or why not? (c) Is R a...

7, (20pts) Let A = {0, 1, 2, 3), and consider the relation R on A: R= (a) Draw the digraph of R. (b) Is R reflexive? (c) Is R symmetric? (d) Is R anti-symmetric? (e) Is R transitive? (C) Is R a...

1. Let X {1, 2, 3, 4, 8). Define a relation R on X by xRy if and only if x + y

For n Z+, let U = {1, 2, 3, ... , n}. Define the relation R on P(U) by A R B if A B and B A. How many ordered pairs are there in this relation?

help please Which of the following statements are true about the following relation: A = {n, g, l, y, d], B = {1, 2, 3, 4, 5, 6] Relation R goes from A to B R = [(n, 3),(d, 5),(1, 2).(g, 1),(y, 6)}...

List and explain the characteristics that determine the size and depth of the scope statement.

Bermuda Run Country Club, Inc., developed a tract of land, formed a country club, and sold some of the lots to individual buyers. Following various sales and litigation, an agreement was executed...

A firm that issues debt securities to expand operations in Financial Market Participant, is it Surplus Unit or Deficit Unit?

CHAPTER 11: RESOURCE PLANNING Table 11.1 Big Truck Tacos has developed the following forecast of demand and accepted orders for their holiday tacos as they enter the Taco Festival Season. They enter...

9. Take four examples from your own everyday life where someone has tried to influence you. Which of the seven influencing techniques mentioned above were used? Did they use any other influencing...

10. First test yourself and then let another member of the group test you in relation to the following questions. If deviations occur, discuss why this might be. What can the results of this test be...

5. Based on your desired future, answer the following questions: (a) What do you want, i.e. what goals have you set yourself? Set up three goals in order of priority. (b) Why do you want this? (c)...