Suppose A,S C U, (<) E LOrd(A), and B := (a1, b1), (a2, b2) E (A × B): D(S). If we define a relation (3) on A x B for (a1, b1) 3 (a2, b2) ):+ (a1 < a2) ^ (b, C b2)

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: Show that R2 =

A: Then, V =Span(S), if every vector in V can be written as a linear combination of elements of S.

Q: ist the ordered pairs in the relation R from A = 0, 1,2, 3, 4, B = 1,2, 3, 4, 5, where Ris defined…

A:

Q: Ppply the necessory for the given restrictions relation Ques tion 1 in order for it o be bi gec tive…

A:

Q: 1. Suppose that a manufacturer determines that there is a linear relation between P, the profit…

A: To identify the independent and dependent variables in the given problem

Q: Consider the relation R = {(1, 2),(2, 1),(2, 3),(3, 4),(4, 1)} on {1, 2, 3, 4}.Is R reflexive?…

A: In this question we have to explain Is the given relation is reflexive.

Q: 2 1-Find the geometric location of the relation z – 3 -ži = v2. 3

A:

Q: If R is reflexive, symmetric and transitive then the relation is said to be--------

A: Any relation R on a set S is equivalent if and only if it follows the below conditions: (a) R is…

Q: Let L be the set of all lines in XY plane and R be the relation in L defined asR = {(L1, L2) : L1 is…

A: Line L is parallel to itself. This means L is parallel to L.So, (L,L)∈RSo, R is reflexive.

Q: Consider the relation between hours of study and quiz grade for three different students. (i)…

A: Given:          A students denote p1 , p2, p3 points are                            ⇒     p1=0,5…

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Is the relation R, defined on the set of real numbers by xRy if 2x + y = 3. antisymmetric?

A:

Q: In this exercise, you want to show that a relation R C A? is transitive + R" C R for all n E N =…

A: In this problem, we have to show that a relation R ⊆ A2 is transitive if and only if Rn ⊆ R for all…

Q: Does the relation "is a friend of" have a reflexive property (consider one person)? A symmetric…

A: Does the relation "is a friend of "  have a reflexive property (consider one person)?

Q: - whether the following relation is a functio- x² – 2x + 1

A: We have to identify  the given  relation is function  not

Q: Consider the relation between hours of study and quiz grade for three different students. (i)…

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

Q: Consider the relation R = {(a, b), (a, c), (c, c), (b, b), (c, b), (b, c)}. Is R reflexive,…

A:

Q: Consider the relation between hours of study and quiz grade for three different students. (i)…

A: Given points are P1=(0,5)P2=(1,5)P3=(2,8)

Q: Is Ra partially ordered relation ? ? . Why ?..

A: Solution is below provided

Q: Verify the relations (5).

A:

Q: Draw the shape of relation z - V3e Зе V3.

A: We are given the relation : z-3eiπ3=3---(1) Now, Let, z=x+iy---(2) Now, 3eiπ3=3cosπ3+i…

Q: 1. Consider the relation R1: R - R such that (r1, y1)R1 (X2, y2) if and only if both points are on…

A:

Q: Consider the relation S on N defined by uSy⟺5|(y+u). Is it reflexive?

A: No it is not a reflexive relation

Q: Is this relation discrete or continuous? -50 -5 -5- O Discrete O Continuous

A: This relation is Discrete.

Q: Determine the minimum for the relation y (x + 16)(x - 8). -64 -16 -226 -144

A: To determine- minimum  for the given relation.

Q: Write the domain of the relation y = arccsc x. x≤-1 or x≥1 -1≤x≤1 0≤x≤1

A:

Q: List the ordered pairs in the relation R from A=0,1,2,3,4, B= 1,2,3, 4, 5, where Ris defined as (a,…

A: Given sets are: A={0,1,2,3,4} B={1,2,3,4,5} Relation R consist of those ordered pairs (a,b) such…

Q: Write the relation matrix for the relation R on the set {a,b,c,d,e,f} which is defined as follows:…

A: We have to Write the relation matrix for the relation R on the set {a,b,c,d,e,f} which is defined as…

Q: Determine if the relation defines y as a ône-to

A: The given graph is: To determine if it is one-to-one.

Q: Represent the following relation {1,2, 3, 4} with a matrix. {(1,1), (1, 4), (2, 2), (3, 3), (4, 1)}

A: Given below the detailed solution

Q: 4. Let the relation R = { (a, b) e Z × Z l(a + b) = 1 (mod 5) }. a. Is the relation transitive?…

A: A relation R between two sets A and B is the set of all ordered pairs a,b such that a∈A and b∈B. We…

Q: 1. Consider the relation R1: R2 - R such that (r1, y1)R1 (x2, y2) if and only if both points are on…

A:

Q: Find c such that (5,−9)(6,3), and (c,8) lie on a line. c=

A:

Q: 1. Identify the domain of the relation: 其-5 |-2| 1 10 11 4 10 а. -5, 10 b. 10, 11, 4, 10 C. -5, -2,…

A: We have to find the domain of function

Q: Give an example of a relation which is a) One-one and onto b) Many - one and onto c) One-one and…

A:

Q: What is the domain of the relation (8, 2), (6, 4), (4, 2), (2, 4)? O 2,4 O 2, 4, 6, 8 O 6, 8 O 2, 4,…

A: Concept: Domain is the set of all first elements of ordered pairs (x-coordinates).

Q: If an expoential relation such as y=bx, if b > 0 and b ≠ 1, then the y intercept is at zero. Is this…

A: The given problem is to check whether the y intercept is at zero is true or false.

Q: The domain is {A, B, C, D, E, F, G, H}. The relation is the set: {(C, B), (D, C), (C, F), (G, H),…

A: Given domain is A, B, C, D, E, F, G, H   The relation is the set C, B, D, C, C, F, G, H, F, B, A, B,…

Q: Write the relation R = {(x, x3) : x is a prime number less than 10} in roster form.

A: Prime numbers less than 10 are 2,3,5,7

Q: Consider the relation between hours * of study and quiz grade for three different students. (i)…

A:

Q: 3. Find all ordered pairs in the relation R from A = (a,b) E R if and only if a + b = 9. {0,2,4,7}…

A:

Q: Is this relation

A: Using definition of relation

Q: The points defined by the relation x2 - y2 = 1 are symmetric across which of the following? Select…

A:

Q: Let be the relation on True False N defined by R={(n, m) : m³ = n + 1). Then R is one-to-one.

A:

Q: relation

A:

Q: 3. Use the cross product properties to prove the relation (a - b) × (â+b) = 2(â × b) given a = (1,…

A: Given,a=i-3j+2kb=-2i+0j+k

Q: Represent graphically the set of values of z for which 3 < 2 2 + 3

A: According to the given information, it is required to represent the given function graphically.

Q: Consider the relation between hours of study and quiz grade for three different students. (i)…

A: As per our company guidelines, we are supposed to answer first three subparts. Please resubmit other…

Q: Suppose that R is a relation. Show that R C dom(R)×ran таn(R).

A: Given R is a relation. Let R be relation on a set A. Now define domain and range of relation R as…

Q: List all the ordered pairs in the relation R= {(a, b) | gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

A: