= {4, 5, 6} and B = {6, 7, 8}, and let S be the "divides" relation from A to B. That is, for every ordered pair  (x, y) ∈ A ✕ B, x S y  ⇔  x | y. Which ordered pairs are in S and which are in

Q: Given the set A- {a, b, c, d} a) If this is the relation R= {(a, b), (b, d)} Show s(R). b) If this…

A: Given R=a,b,b,d. The Symmetric closure of R denoted by sR=R∪R-1, where R-1 is the inverse of the…

Q: Let A = {a, b, c} Define a relation as follows: ARA = {(a, b) , (a, c) , (b, c)} To obtain the…

A: Transitive relation means if (x, y) and (y, z) are in R, then (x, z) will also be in R.    Using…

Q: 11. Let A = {3, 4, 5} and B = {4, 5, 6} and let S be the "divides" relation. That is, for every…

A: According to the given information it is required to state which ordered pairs are in S, and S-1.…

Q: Let R be a relation from N to N defined by R = {(a, b) : a, b ∈N and a = b2}. Arethe following…

A: Let R be a relation from N to N defined by R = {(a, b) : a, b ∈N and a = b2} (i) But Therefore,

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: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

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: Let A = {2, 3, 4} and B = {6, 8, 10} and define a relation R from A to B as follows: For every (х,…

A: Relation R is defined as:

Q: If P(A)=p, P(A|B)=q, P(B|A)=r and A,B are mutually exclusive then what is the relation between p,q…

A: Let A and B be two events which are mutually exclusive. The probability that event B occurs provided…

Q: 2,3,4,5

A:

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: Let A = {2,3,4} and B = {2,6,8} and let R be the “divides” relation from A to B Draw an arrow…

A:

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O [1, 2), (3, 4), (5, 6}} O…

A: Here we have X={1,2,3,4,5,6} We have to determine the relation on X.  A relation defines the…

Q: Let A = { 3, 9}, R relation on A defined R by. R = {(a, b): a +b = 12 ,a, b E A }. Write R. O a. {…

A: Given that A={3,9} R is a relation on A defined by R={(a,b):a+b=12,a,b belongs to 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: Here given sets A = {4, 5, 6} and B = {6, 7, 8} and relation defined asxSy⇒x/y means x, y∈S⇒x…

Q: Let {2,3,4}{2,3,4} and {8,9,10}. Define a relation H from A to B such that (x,y) ∈ H if and only if…

A:

Q: a. If R is a relation defined from the Set A = { 6,12,25,36} to the set B = {3,4,5,6} as follows: R…

A:

Q: Let A = {3,4,5,6} and B = {1,2,3} and define a relation R: A → B as follows: For all (x, y) ∈ A × B,…

A:

Q: For each relation, decide whether or not that relation is reflexive, symmetric, antisymmetric or…

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: 6f) For the set X = {m,n, p, q,r, s}, let R be a relation on P(X) (the power set of X), given by A R…

A: Yes , this is correct. The set X= {m, n, p, q, r, s} |X|=6 The power set P(X)={ {}, {m}, {n},…

Q: Let A= {0,1,2,3,4} and a partition of A be: {0,2},{1},{3,4} (a) Write all pairs of the relation…

A:

Q: а. {(0,0), (1,1), (2,2), (3,3)} b. {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)} с. {(0,0),…

A:

Q: Let A={1,2,3,4} and R a relation on A such that A/R={{1},{2},{3,4}}. Then the number of ordered…

A: Given problem is : Let A={1,2,3,4} and R a relation on A such that A/R={{1},{2},{3,4}}. Then the…

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 S be the set of all real numbers and let R be a relation in S, defined by R = {(a, b) : a < b³}.…

A: Given relation is R = {(a, b) : a ≤ b3}

Q: Let A= {2, 4} and B = {2, 4, 6} and define a relation R for A to B as follows: Which ordered pairs…

A: A=2,4 and B=2,4,6a,b element A×B, a,b∈R means that a+b is an integer

Q: Which of the following sets of ordered pairs represents a relation that is not a funetion? (1, 1),…

A: We know that set of order pairs like (x,y) forms a relation. Now, when a relation contains a special…

Q: 12. Let P = {2,3,4,5} and define a relation R from P to P as follows: For all (x, y) E P X P, (x, y)…

A:

Q: Let A = {2, 3, 4} and B= {6, 8, 10} and define a relation R from A to B as follows: For all (x, y) ϵ…

A: Relation: A set is a ordered pair  is defined as a relation Let us consider the set A and B , then…

Q: Suppose A is a set with n elements and B is a set with m elements. (a) How many ordered pairs (a, b)…

A: By bartelby guidelines I can only answer the first three sub questions.

Q: Let A = {2,3, 4} and B = {6,8, 10}, and define a relation R from A to B as follows: For all (x, y) E…

A: According to Bartleby guidelines I can only answer only one question out of two you have given. Also…

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O {{1, 2}, {3,4}, {5, 6}} O…

A: topic - relation

Q: |Given the relation R= {(1,1), (2, 4), (3, 1), (4, 1), (5,2)} on the set A= {1,2,3,4,5), find the…

A: We know: Symmetric closure of a relation R, △, is obtained by adding (b, a) to R for each (a, b) ∈ R…

Q: Given R = {(m, m), (s, s), (e, e), (m, e), (s, e), (s, m), (e, m)} is a relation on set A = {m, e,…

A:

Q: 11. Let C= (0, 1, 2) and D= (2,4, 6, 8) and define a relation R from A to B as follows: For all (x,…

A: We have to determine the above terms for the given relation.

Q: By listing the elements as ordered pairs, define a relation on the set A = {e, 2, 7, ♡} which is:…

A:

Q: Let A = {1,2,3,4}, B = {2,3,4,5}, and C = {2,4,6,8,10}. Suppose R is a 3-ary relation that is…

A: To determine the triples in the array.

Q: d. The business major has attended FSU for 4. Let C = (0, 1, 2} and D = (2,4,6, 8) and define a…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Let A = {2,7,8,10} and B = {1,5,8,12} and let & be the "greater than or equal to" relation. That is,…

A: The given sets are A=2,7,8,10 and B=1,5,8,12 To find: The ordered pairs which satisfies σ and σ-1

Q: For the set A = {are, bot, cab, era)}, define the relation R on A to be: (x,y) eR if and only if…

A: As per the condition, in every order pair there should be only 1 letter in common.

Q: Let A = {6, 8, 10, 15, 17} and B = {2, 3, 4, 5} and define a relation R: A → B as follows: For all…

A: Given   A = {6, 8, 10, 15, 17};  B = {2, 3, 4, 5}; relation R: A → B  ordered pairs of A and B that…

Q: In N × N clause β for (a,b), (c,d) ∈ N × N defined as: (a,b)β(c,d) = ad = bc Examine the properties…

A:

Q: Let A= B = Z. Let R be the relation from A to B defined by a Rb if and only if a² – b² = 9.…

A:

Q: Let A = {1, 3, 4, 6, 8, 9} and a relation on A is defined by the following: a R b if and only if a…

A:

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: 2. Let C = D = {-3, –2, –1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y)…

A:

Q: Let A = {3, 4, 5} and B = {5, 6, 7}, and let S be the "divides" relation from A to B. That is, for…

A: Given A=3,4,5 and B=5,6,7. And let S be the "divides" relation from A to B that is for every ordered…

Q: prove why each relation has or does not have the properties: reflexive, symmetric, anti-symmetric,…

A:

Q: Let A= (2,3,4) and B= (2,6,8) and let R be the "divides" relation from A to B:  For all (x, y) £ A…

A: Now, A=2,3,4 and B=2,6,8 The set A×B is: A×B=2,2,2,6,2,8,3,2,3,6,3,8,4,2,4,6,4,8 We have the…