Let P be the set of all people alive today, and define a relation S on P as follows: (person a) S (person b) if and only if person a and person b have at least one parent in common. Select all true answers (and no false answers) below. S is a reflexive relation OS is a symmetric relation S is a transitive relation S is the same relation as its own inverse

Q: If A = {1,2,3,4} give an example of a relation R on A that is: Reflexive and symmetric but not…

A:

Q: Let T be an irreflexive relation on the set M, then the ToT relation is also irreflexive on the set…

A: Let M=ℕ. Define relation T on M as, T=a,b : a≠ b Clearly a,a∉T for any a∈M. Hence T is irreflexive.

Q: Let R be the relation on the set of integers, s.t., aRb if and only if a=b or a= -b. Is R an…

A:

Q: Let W be the set of words in the English language. Define a relation R on W by W₁ R W₂W₁ and we have…

A: We are given that,      w1 R w2  <=> w1 and w2 have a letter in common.  Now, it is obvious…

Q: Is the following statement true or false? If R is any symmetric relation on a set A, then R is…

A:

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: d. Ris a relation on Z* such that (x, y) e R if and only if there is a positive integer n such that…

A:

Q: 2,3,4,5

A:

Q: 1) Define a relation on the set of all people as follows: two persons x and y are related if and…

A: Reflexive: A relation is said to be reflexive, if (a, a) ∈ R, for every a ∈ A. Symmetric: A relation…

Q: A relationR on a set A is called equivalence if R is:

A: Equivalence Relation: A relation R on a set A is said to be an equivalence relation if and only if…

Q: need help

A: Step 1: First find out the (m,n) which belong to the equivalence classes R for x, y ∈ A. As mRn ⟺…

Q: Which of the following relations are transitive? The relations are in bold. (Remember: A relation R…

A:

Q: ame programs. A = the set of all people in the Social Security database; a Rb if and only if a and b…

A:

Q: Determine whether or not the relation R on the set of all people is reflexive, netric,…

A:

Q: c. Ris a relation on Z such that (x, y) e R if and only if xy 2 0. d. Ris a relation on Z* such that…

A:

Q: Let A = {4, 5, 6} and B = {6, 7, 8}, and let S be the "divides" relation from A to B. That is, for…

A:

Q: For each of the following relations, determine whether the relation is: Transitive. A partial order.…

A: Answer:Explanation:Reflexive: A relation on a set is reflexive if every element in the set is…

Q: Let A = {3, 5, 7, 8} and define a relation S from A to A as follows: %3D For all (x, y) E A × A, (x,…

A:

Q: Let A = {3, 5, 7, 8} and define a relation S from A to A as follows: For all (x,y)∈A×A,(x,y) ∈ S if…

A: Solution : Given :             A = {3, 5, 7, 8} ,                         S is a relation from A to…

Q: let R be the relation on the set of positive integers in which a R b if and only if a is a factor of…

A: Given below the detailed Solution.

Q: set {(a,b),(a, a), (c, a), (b, b)} (a). Let X = {a,b,c} be sets. is a relation on X and find its…

A: Answer and explanation is given below..

Q: Decide whether each of the following relations is an equivalence relation or not.  {(a, b) | gpa of…

A: To prove equivalence relation, we have to prove that (i) the relation is reflexive, (ii) the…

Q: b) E Rif and only if a has the same first name as b. (Check all that apply.) Check All That Apply…

A: We need to check whether the given relation is reflexive, symmetric, transitive, antisymmetric. here…

Q: 1, Let R be the relation defined on the set A = {1, 2, 3, 4, 5, 6,} Such that aRb means a+2 <= b.…

A:

Q: For each of the following relations, determine whether the relation is: Reflexive. Transitive. A…

A: As you have asked more than one questions with multiple subparts, we Shall answer first question…

Q: Let R be a relation from A to B and defined "x is at least twice as big as y." Write R as a set of…

A:

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 and B be any two sets. A binary relation from A to B is i. CAXB ii. SANB CAUB Non of these…

A: Firstly we define binary relation from set A to set B, and then conclude the answer.

Q: Question 2 How many relations are there on the set A in Question 1? Give the reasoning for your…

A: As we know from the definition of relation on a set that every relation on a set is an element of…

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: Is the following statement true or false? If R is any symmetric relation on a set A, then R is…

A: If R is any symmetric relation on a set A, then R-1 is symmetric.Proof :1. Let R be any symmetric…

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: Given the relation R on the set of all integers defined by the rule (x, y) ER if and only if x 2 y².…

A: