Question: 1 - Let A = {1, 2, 3, 4} and R be a relation on the set A defined by: R = {(1, 1), (1,

1 - Let A = {1, 2, 3, 4} and R be a relation on the set A defined by:

R = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (4, 1), (4, 4)}

Determine whether R is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, or transitive. For each property, either explain why R has that property or give an example showing why it does not.

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!

Southern New Hampshire University 1) Let A = {1, 2, 3, 4} and R be a relation on the set A defined by: R = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (4, 1), (4, 4) } Determine whether R is reflexive,...

1. Let A = {1, 2, 3, 4, 5), B = {0, 1, 4, 8}, and C = {2, 5, 7, 9, 1 1, 13, 17). Compute each of the following (a) AUB. (b) AnB. (c) AnC. (d) A - B. (e) A - (BUC). (f) (A - B) U (A - C). (g) An...

COSC385 Spring 2021 Set Theory Review Exercises Questions 1. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set. Given A= {1, 4, 7, 10}, B = {1, 2, 3, 4, 5} and C = {2,4,6,8), compute the...

Let A = {1, 2, 3, 4}, and R is a relation defined by "a divides b". Write R as a set of ordered pair and represent it by matrix.

1. Let A = {1, 2, 3, 4}. Prove or disprove each of the following statements. If the statement is true, you must simply describe the relation you choose as a subset of A x A and draw its directed...

Questtion 1 -Let A = {1, 2, 3, 4, 5, 6} and let R={(5,3), (6,3), (1,2), (2,1), (5,5), (1,4), (2,2), (3,3), (4,1), (2,4), (6,6), (6,5), (4,2), (3,5), (1,1), (3,6), (4,4), (5,6)}. Draw the digraph...

1. Let U = {1, 2, 3, 4, 5, 6, 7, 8, a , b , c , d , e }. If A = {1, 2, a , e } and B = {1, 2, 3, 4, a , b , c }, find the following. (a) n ( A c ) (b) n ( A B c ) (c) n ( A B c ) (d) n ( A c B c ) 2....

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

finite Math 200 Question Help MATH 200 Worksheet #1? Name: Section 7.1 1. Let S = [1, 2, 3, 4-, 5, 6, 7} be a sample space of an experiment and let A = {2, 4-, 6}, B = {1, 3. 4, 5,7}, and C = [1, 3,...

Please answer question 11 1 1. Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = { 1, 2, 3, 5, 8}, B = { 1,3, 6,7}, C = { 2, 4, 5, 9} and D = { 3, 6}. Find the elements contained in the following sets:...

5. Scott deposits: 1 at the beginning of each quarter in year 1: 2 at the beginning of each quarter in year 2; 8 at the beginning of each quarter in year 8: One quarter after the last deposit, Scott...

Solve problem by the simplex method and also by the geometric method. Compare and contrast the result. Maximize Subject to P = 2x1 + 3x2 -x1 + x2 2 x2 4 x1, x2

A $ 1 , 0 0 0 par zero - coupon bond matures in 7 years. It has a yield to maturity of 2 . 2 5 % per annum. What is the value of this bond today? $ 1 . 0 0 0 3 7 3 7 . 5 2 $ 8 5 5 . 7 7 $ 7 3 4 . 8 3

Trend percentages are a form of horizontal analysis that are computed only for balance sheet items. True or False Usually new companies have a lower cost of capital. True or False On the statement of...