Determine whether the relation R on  the set of all people is reflexive,symmetric, antisymettric and/or transitive where (a,b) ∈  R if and only if 1. a is taller than b. 2. a and b born on same day. 3. a has the first name as the b. a and b have a common grandparent. Which of the above relations on the set of all people are equivalence relations and/or partial order relation?

Q: 1 2 3 4 6 7 8. 9 10 ATA 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

A:

Q: 3. Let the relation R on X = {1,3,5, 6, 8, 9, 11} be such that xRy means "x – y is a multiple of 3".…

A:

Q: Let A be a nonempty set and let ~ be an equivalence relation on A. Prove each of the following: (a)…

A: 11. Let A be a nonempty set and ~be an equivalence relation on A. (b)  We know that for each a, b∈A…

Q: The relation on the set of integers R {(x, y) : 5 divides a- y} is O a. an equivalence relation O b.…

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: Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70} (d) Find…

A: We form the following Hasse diagram -

Q: Let A be the set of all citizens of New York City. For a, b E A, define a ~ -b if and only if ●…

A: To show that ~ defines an equivalence relation on the set A (the set of all citizens of New York…

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: 4. Let A = {a, b, c, d}. Suppose R is an equivalence relation on A. Suppose R has three equivalence…

A: To Determine: write R as a set .describe then all   Given: let A={a,b,c,d} suppose R is an…

Q: Given a set A={1,2,3,…,15} define a relation induced by a partition of set A and that partition must…

A: Given a set A={1,2,3,…,15} define a relation induced by a partition of set A and that partition must…

Q: Another example of a relation is the divisibility relation (denoted by ), that is, for A=N, where N…

A:

Q: 1. Verify that the relation ~ is an equivalence relation on the set S given. (a) S = R reals, a ~ b…

A:

Q: Consider the set of all members belonging to the same family and the binary relation defined as " to…

A: GIVEN: The set of all members belonging to the same family and the binary relation defined as " to…

Q: Determine whether each relation is an equivalence relation. Justify your answer. If the relation is…

A: According to the given information it is required to check whether the given relation in each part…

Q: Let P be the set of all positive factors of 90, and let / denote the 'divides' relation. Then the…

A:

Q: Considering A as a set which contains the elements {2,3,4,5,6,7,8}, Define a relation R from A to A…

A:

Q: Let N be a nonempty set and o a permutation of N. Define a relation a~b if and only if b = o"(a) for…

A: Given, Ω is a nonempty set and σ a permutation of Ω. A relation on the set is defined as a~b if and…

Q: Let P be the set of all people. Consider the relation pNq if p and q have the same first name. Which…

A: Given thatP be the set of all people.Consider the relation pNq if p and q have the same first…

Q: 5- Consider the following arrays VERT={1,2,6,4} , TAIL={1,2,2,4,4,3,4,1} , HEAD={2,2,3,3,4,4,1,3},…

A: Given the sets Tail=1,2,2,4,4,3,4,1 and Head=2,2,3,3,4,4,1,3, the digraph can be computed using the…

Q: x R y in R if | x |=||

A: we have to find the relation R where R is defined by x R y in ℝ if x=y, equivalent or not.

Q: Determine the following relation on the set {a, b, c, d}, is reflexive, irreflexive, symmetric,…

A: Let R represent a relation on a given set S=a,b,c,d. Then, relation R is said to be reflexive; if…

Q: In the following questions, determine whether the binary relation is: (1) reflexive, (2) symmetric,…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

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: Ris an equivalence relation on a set with 5 elements. Which of the following are possible? There are…

A: We know equivalence classes are disjoint classes. Since R has 5 elements . Hence , possible cases…

Q: 2. Let A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and suppose R is a relation defined by a is related to b…

A:

Q: There are 3 parts to this question. The answer choices for each are all. 1) reflexive 2) irreflexive…

A:

Q: prove why they have or do not have the properties: reflexive, symmetric, antisymmetric, transitive…

A:

Q: Let A = {a, b, c, d, e}. Suppose R is an equivalence relation on A. Suppose R has two equivalence…

A:

Q: a. Let A = The set of numbers involve in your college ID. And R = {(x, y)1+ 2 divdes (x3 + y} be a…

A: Part (a) Write Cartesian form of set R: A=0,1,3,5,7R=x,y|⇔2 divides…

Q: 1(b). Is (p->q)->[(p->q)->q] a tautology? Why or why not?  (c). Given the relation on the set .…

A: We are entitled to solve only one question at a time. Please submit another question separately. To…