9. Let S = {1, 2, 3}. Let p be a relation on S such that xpy means x ≤2y. (a) Find p and p-1 as subsets of S x S. (b) Is p reflexive? Is p symmetric? Is p transitive?

Q: Let A = {1, 2, 3, 4}. Give an example of a relation on A that is:    (a) reflexive and symmetric,…

A: Let A=1,2,3,4. To give an example of a relation on A that is:  (a) reflexive and symmetric, but not…

Q: The relation D is defined on the set P = {6, 9, 15, 54, 78, 90} by the rule: n1 D n2 exactly if (n2…

A: (i) The relation D is defined on the set P=6, 9, 15, 54, 78, 90 by the following rule: n1 D n2…

Q: 7. (6 points) Let T be a relation defined on the set A = {1,2,3} such that T = {(1,1), (1,2), (2,2),…

A: The objective of the question is to determine whether the given relation T is reflexive, transitive,…

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9} and let R be the relation {(a,b) ! a , b} Find the smallest…

A:

Q: Given that T is a relation on the set {1, 2, 3, 4}, and the set of ordered pairs is: T = {(1, 1),…

A:

Q: Given that T is a relation on the set {1, 2, 3, 4}, and the set of ordered pairs is: T = {(1, 1),…

A: Reflexive: If every element in set A is related to itself, i.e., (a, a) ∈ R for every a in…

Q: (a) x and y are in the same major. (b) x and y have the same last name. (c) x and y are taking a…

A: See the attachment

Q: Let R be the relation defined on P({1,..., 100}) by ARB if and only if An B is even. Is R reflexive?…

A: Given: R is the relation defined on P1,....,100 by A R B.           A∩B is even.We need to check…

Q: 6. Consider the set A = 10 = {0, 1, 2, ..., 9} and consider the relation R on A determined by a Rb…

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Q: Let R1 be the relation on Z+ such that ¤R¡y if and only if ry > 3. (Recall that Z+ = {1,2, 3, 4,…

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Q: Let R be the relation over the set of all people where aRb iff a is the same age as b. Determine and…

A:

Q: Let A = {1, 2, 3, 4}. Give an example of a relation on A that is (R = Reflexive, S = Symmetric, T =…

A: (a) Consider the Relation          V = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (2, 3), (3,…

Q: Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in R if and…

A: According to the guidelines,we can solve only first three subparts.

Q: (Relations) Consider the set A = {1,2, 3, 4, 5}, and a relation R defined by x Ry + x² – y is an…

A: Since you have posted a multipart question and we can answer three subparts. So, answered the first…

Q: t R be the relation on the set of ordered pairs of positive integers ch that ((a,b), (c,d)) e R if…

A: