10) let R and S be two relations from A to B, then the set = { ( a, b) e A×B:( a.b) ER} is

Q: Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.

A: There are 3 elements in A And there are 2 elements in B

Q: 2. Let A = {r|x is older than 25}, B = {y|y_is older than 50}, C = {z |z is between 20 and 30}. Draw…

A: The question is related to sets. The solution is explained below.

Q: Let A = {1, 2, 3}. Then show that the number of relations containing (1, 2)and (2, 3) which are…

A: The smallest reflexive relation on set A containing (1, 2) and (2, 3) is

Q: If A (1,3.4) and R is a relation defined on A as: R = {(r.y) E Ax A:r-y is odd ), Then relation Ron…

A:

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: For the set A= [-0, 4) U{5,9} U[6,7] , 6 is interior point of A ylgn İhi

A: False

Q: Let A = {1, 2, 3}. Then number of relations containing (1, 2) and (1, 3) which are reflexive and…

A: Given: A = {1, 2, 3}

Q: Use the Ruler axiom to prove that there is a one-to-one correspondence between any two lines.

A:

Q: Suppose R and S are relations on {a, b, c, d}, where R = {(a, b), (a, d), (b, c), (c, c), (d, a)}…

A: we have given relations R and S on {a, b, c, d} and we need to find composition R∘S

Q: We defined the relation between sets by A ~ B means that there there is a 1-1 correspondence ƒ : A →…

A: We define the relation ~ between sets by A~B means that there is a one-one correspondence f:A→B Show…

Q: Which of the following relations contain cach of the following pairs (1, 1), (1, 2), (3, 2), and…

A:

Q: Show every possible 1-1 correspondence between the following sets. {a, b, c} and {1, 2, 3}.

A: Possible 1-1 correspondence between two sets

Q: In general, to represent a catégóričal predicte categories, seU ieun

A: Given that  To represent a categorical predictor variable that has n possible categories. Possible…

Q: Let A = {2, y, 6} and B = {x, 4, z}. which of the following are relation from B into A O a. R = {(2,…

A: We have to find that relation

Q: Let

A:

Q: The arrow diagram below represents a relation. 1 2 3 Figure 1: An arrow diagram shous three…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 9.1. For the sets A = {a,b, c} and B= {r, s,t,w}, let R = {(a, s), (a, t) , (b,t)} be a relation…

A: Given A= {a,b,c} B={ r,s,t,u} R= { (a,s) , (a,t) , (b,t)}. We are asked to find the Domain and…

Q: Let D be digraph. If id(x) > 0 for all x ∈ V (D), then D contains a circuit.

A: Given:- Let D be digraph. If id(x) > 0 for all x ∈ V (D)

Q: Let A = {1,2,3,4,5,6}, how many different relations are there on a set A?

A: First, we need to know definition  of the Cartesian Product of a set is with itself. The Cartesian…

Q: Let Let A={2,4} and B = {1,3,5} and define relations U, V, and W from A to B as follows. For all (x,…

A: Given that -  Let A={2,4} and B = {1,3,5}

Q: -16] --14] Let ai -20|, a2 = -16 and az = –18 -4 -4 -4 The set {a1, a2, az} will span R' unless h =

A:

Q: If A has 4 elements and B has 4elements, then the number of possible relations from A to B is O 24.…

A: Given Data-  A and B have each 4 elements. We have to find the number of possible relations from A…

Q: (a) In a class of 130 SHS students, 41 offers agricultural science, 62 offers business and 31 offers…

A:

Q: Show every possible 1-1 correspondence between the following sets. {A,B} and {a,b}

A: The solution are next step is

Q: Prove that if r>3 and y > 4, then ry > 11.

A:

Q: When does vyvxP(x, y) be false? A P(x, y) is false for every pair x, y. B There is an x such that…

A: Given that                       ∀y∀xP(x,y) be false.

Q: Suppose that X, Y subset U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr(X intersect Y)= 0.09, what is Pr(X’…

A: Given, Pr(X)= 0.35 Pr(Y)= 0.36 Pr(X intersect Y)= 0.09  Pr(X’ U Y)=?

Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: O Is the set S=\[1.2], [-4 2. abaris for R?.

A: We know dimension of ℝ2  is 2  this implies basis of ℝ2 contains two linearly independent vectors.…

Q: If R, T, G,H are relation on A and RET,GCH then, 1. RoG CTOH 2. Тон с RoG 3. RoT S Goн 4. RoH E ToG…

A:

Q: 2. Let A = {r | r is older than 25}, B = {y |y _is older than 50}, C = {z | z is between 20 and 30}.…

A:

Q: 5) Compute the number of ordered pairs (x,y) with x>0 and y>0 that satisfy x+(y)=5.3 and y+(x)=5.7

A: In this question we have to find the number of ordered pairs (x,y).

Q: Let A, B, C be points in 3-space. Suppose that AB represents u and BC represents v. Then AC…

A: Given statement is true.   Because it is following triangle rule of vector addition.   According to…

Q: Consider the relation on A = {a, b, c, d, e} given by R={(a,b),(b,c), (b,d),(b,e),(d,

A:

Q: Let A = {1,2,3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?

A: Given A=1,2,3,4B=a,b,c,d,e

Q: Suppose Ak,., A2 , A1 and B are points on R" Prove that if {A1 , A2, .. Ak} is an independent linear…

A: proof :- A1,A2,...Ak are linear independent set ⇒c1A1+c2A2,...ckAk=0  where c1=c2=...=ck=0…

Q: If A has 4 elements and B has 4elements, then the number of possible relations from A to B is O 24.…

A:

Q: Suppose that X, Y are subset of U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr (X intersect Y)= 0.09, what…

A: Given Suppose that X, Y are subset of U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr (X intersect Y)= 0.09

Q: This question refers to unions and intersections of relations. Since relations are subsets of…

A:

Q: This question refers to unions and intersections of relations. Since relations are subsets of…

A: The given sets are: A={-2,2,3,5} and B={2,3}

Q: In (R, Tst), if b – a > 2, then U-1[a +, b – is not closed. Select one: True False

A:

Q: 1. Let A = {a, b, c} and B = {r,s, t, u}. Furthermore, let R = {(a, s), (a, t)}, (b, t) be a…

A: Suppose A and B are non empty sets. Define a relation R:A->B then, Domain of R={x: (x,y) belongs…

Q: Determine how many one-to-one correspondences are possible between two sets, {p, s, z, w, v} and {1,…

A:

Q: Given A = {1,2, 3, 4} and B = {x,y , z}. Let R be the following relation from A to B: R =…

A: Step:-1 Given that A=1, 2, 3, 4  and B=x, y, z And R= 1, y, 1, z, 3, y, 4, x, 4, z

Q: This question refers to unions and intersections of relations. Since relations are subsets of…

A: A={-4,4,7,9}B={4,7} A×B=-4,4,-4,7,4,4,4,7,7,4,7,7,7,4,7,7,9,4,9,7

Q: Question 2: Use set builder notations to prove that: a)X Y = (XUY) – (XnY), b)(Y – X) U (Z – X) = (Y…

A: Part(a) We have  by the definition of symmetric difference : X⊕Y=xx∈X-Y or x∈Y-X Now, we prove that…

Q: We defined the relation between sets by A - B means that there there is a 1-1 correspondence f : A →…

A: The complete solutions is in given below

Q: Let A = {1, 2, 3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B.…

A:

Q: Let the relation R be {(1,2), (2,9), (5,6)}. Is R transitive? Give the reason.

A: Given : 1,2, 2,9, 5,6