The relation D is defined on the set P = {6, 9, 15, 54, 78, 90} by the rule: n1 D n2 exactly if (n2 = (6 × n1)) ∨ (n1 = n2). (a) Draw a Hasse diagram for the relation D on P. (b)  State whether the relation D on P is an ordering or not. Explain your conclusions based upon the relation’s adjacency matrix, or other reasoning. (ii)  Let R = {(a, a),(a, b),(a, d),(b, a),(d, a),(d, b)} be a relation on the set {a, b, d}. (a)  Determine the adjacency matrix of R+, where R+ is the transitive closure of R. (b)  List the relation R+ as a set of ordered pairs.

Q: 1. 2. b 1 1 0 1 3 0 1 1 0 0 0 1 1

A:

Q: Define the relation R = {(a.b): a + b < ab} = A x B with A = {1,2,4} and B = {2,5,6). List all the…

A:

Q: 4 1) 3 bes this digraph illustrate a relation that is symmetric or transitive or neither? ymmetrid…

A:

Q: Let Y be a relation defined by a Y b iff a times b is even. Is 5 Y 7 true?

A: Here, the given problem is on relation on set. We will solved the problem  step by step.

Q: What is the domain of the following relation? {(-4, -1), (-1, 2), (2, 3), (3, -5)} {-5, -1, 2, 3}…

A: The given relation is ,                          R=-4,-1 , -1,2, 2,3 ,3,-5 Recall :…

Q: Given the relation R = {(1,2),(2,3)} on the set A = {1,2,3} . What is the minimum  number of ordered…

A:

Q: Consider the relation “is multiple of “on the set A = {2,5,10,25,40,3,12,6} find the relation and…

A:

Q: Which is not an element of the domain in the relation below? {(-4, 6), (0, 3), (2, 2), (7, – 1)} O 2…

A: Consider the given relation in ordered pairs. -4,6,0,3,2,2,7,-1 The objective of the problem is to…

Q: Let A = {4, 5, 10, 21, 24). List the ordered pairs in the relation R = {(a, b) E AXA: alb). (Recall…

A:

Q: Which of the following is the inverse relation to the set of ordered pairs {(–7, 15), (0, –16), (5,…

A: Given  set of order pairs                                        P=(-7, 15), (0, -16), (5, 9), (17,…

Q: The number of watermelons in a truck are all weighed on a scale. The scale rounds the weight of…

A:

Q: 1. Identify the domain of this relation. {(8,10), (5,7), (9,–11). (6,-8)} O A. Domain: {5,6,8,9} O…

A:

Q: Which relation has a domain of (3, 5, 8} ? O(2.8). (1. 3), (3, 5)} O(3, 8). (5. 3). (3, 5)} O (3.…

A: Domain of relation: The set containing all the first elements of all the ordered pairs of relation R…

Q: Let R be the relation, {(a, b) Nx N: a + b² is divisible by 3} Give an example that shows that R is…

A: Symmetric Relation: A relation R is said to be symmetric if

Q: Consider the relation on the set N x N given by (m, n)R(k, l) if m + n = k + l. List three elements…

A:

Q: A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference…

A: The difference between x and y is odd That is possible for  1-4=-3 1-6=-5 2-9=-7 3-4=-1 3-6=-3 5-4=1…

Q: determine the defining relation by hand a 2iii6-3

A: We have given that the defining relation is  2iii6-3.

Q: Let A={5,10,15,20, 25} and a partition of A be: {5,25},{10, 20} , {15} (a) Write all pairs of the…

A:

Q: Let R be the relation {(1,2), (1,3), (2,3), (2,4), (3,1)} and let S be the relation {(2,1), (3,1),…

A:

Q: Let A = {1, 2, 3}, B = {a, b, c), and C = {6, 8}. Let R = {(1, a), (2, c), (3, b)} be a relation…

A: