4-part question: Let R be a relation from A to B and S a relation from B to C.  (a) Define the composition S of R, of the relations. (b) Define the reversed relation T from B to A.  (c) Show that the (reverse of S of R) = (reverse of R) of (reverse of S).

Q: Do question 3 only

A: Step 1: Step 2: Step 3: Step 4:

Q: 1. Let R be a relation on R x R such that (*1vi)Rs02) if and only if x,yı = x2y2. (a) Is (2,3)R(1,4)…

A: A relation from a set A to B is defined as a subset of A×B. Here R is a relation on ℝ×ℝ such that…

Q: Do question 1 only

A: For any query with the solution, please ask in the comment box.

Q: 7. (Relations) Consider the set A = (1,2,3, 4, 5}, and a relation R defined by zRy + 2-y is an…

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

Q: 7. (6 points) Let T be a relation defined on the set A = {1,2,3} such that T = {(1,1), (1,2), (2,2),…

A: The objective of the question is to determine whether the given relation T is reflexive, transitive,…

Q: Let R = { (1,1), (3,1), (2,1),(2,2), (1,3) } be a relation on the set A = {1,2,3}. (a) Determine…

A: Explanation of the answer is as follows

Q: Let A — {1, 2, 3, 4} and B — {5, 6, 7}, and let f be the relation f = {(1, 5), (2, 5), (3, 6), y)}.…

A:

Q: Consider the relation R on R, where R = {(a, b) | ab ≥ 0} . (a) Is the relation R reflexive,…

A: is a relation on

Q: Let R be a relation on R × R such that (,71)R¢xI2) if and only if xıyı = x2y2. -) Is (2.3)R(1,-6) a…

A: It is given that R be a relation on ℝ×ℝ such that Rx2,y2x1,y1 iff x1y1=x2y2 For part (a) According…

Q: (i) Give an example of a relation S on A = {1,2, 3, 4} with S is reflexive, not symmetric and not…

A:

Q: The inverse of a relation r is r {(0, 0), (0, 1), (0, 2) }. Which of the following may be the…

A: Topic = Relation   The Inverse of a Relation is a set of ordered pairs that is the exact inverse of…

Q: A function F from a set A to a set B is a relation with domain A and co-domain B that satisfies the…

A: Relation: Let A  and B  be two sets then relation between A nd B means  the collection of the…

Q: (i) Let A = {1,2,3,4,5), then either find a relation on A that is not reflexive on A and not…

A: Solution:

Q: Create (a) the ordered pairs, (b) graphical representation, and (c) the relation matrix, for  the…

A: Given a relation R on the set B as "is factor of" B=1,2,3,6. a The ordered pair is…

Q: a. Let A= {0,1,2,3} and define a relation R on A as follows: R= {(0, 2), (0, 3), (2, 0), (2, 1)}. i.…

A: Since you have posted multipart question and we can answer three subparts. So, answering the first…

Q: Let R1 and R2 be the relations on {1,2,3,4} given by R1 = {(1,1), (1,2), (3,4), (4,2)} R2 =…

A:

Q: 7. (Relations) Consider the set A= (1,2, 3, 4, 5), and a relation R defined by zRy -y is an integor…

A: Given, A = 1, 2, 3, 4, 5xRy ⇔x2-y is an integer multiple of 3.

Q: Ris a relation from A= {2,3,4} to A. The graph of the relation R is given by G = {(2,4), (4, 3), (3,…

A: Option A is correct.

Q: Let R be a relation on the set of all functions from Z to Z defined by: R = {(f,9)|f(1) = g(3) or…

A:

Q: Let R be the relation on the set (0, 1, 2, 3} and R= {(0, 1), (1, 1), (1, 2), (2, 0), (2, 2), (3,…

A:

Q: QUESTION 2 Define a relation on Nx N as follows: (a, b) R (c,d) a+d=b+c (2.1) Is (3,6) R (3,5)?…

A: We have to show that the given relation is an equivalence relation.

Q: Let G be a relation from C={-1, 0, 1, 2} to C {-2,-1, 0, 1, 2} with G={(-1,0), (0,1),(1,2), (2,-1)}.…

A: Given query is to find G is a function or not.

Q: Let A = {5, 6, 7, 8, 9, 10} Let R be a relation on A defined by R = {(a, b) : a e A, be A, Ja -…

A: Given,          Let A= 5,6,7,8,9,10  .           Let R be a relation on A defined by R=a,b :…

Q: Let A = {1,2,3}, X = {1,3}, and R is a relation on A, such that R= {(x,y) | x<y ^ x, y = A} R"X =…

A: , and is a relation on .

Q: (d) Let x be the complex number 1-i. Use de Moivre's Theorem to find the smallest n E N such that x"…

A:

Q: (3) Let A={1,3,5,7}, B={0,4,8}. Define the relation R as: For all x E A and y E B, xRy , if and only…

A:

Q: Draw the diagraph of the relation R, where the relation R on {1,2,3,4} defined by (x,y) ∊ R if x^2…

A:

Q: B Let A = {(x,y) |x-yeQ for x, y = R} be a relation on K. Which statement best describes problem?…

A:

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: (a) Consider the relation R on the set A = {p, q, r, s} defined by R= {(p,p), (p, q), (q, r), (r,…

A: (a) R is a relation on the set A = {p, q, r, s}       R = {(p, p), (p, q), (q, r), (r, s), (r, r),…

Q: Define a relation R on the set {1, 2, 3, 4} as follows: T = {(1, 4),(2, %3D 3),(2, 4),(4, 1),(2,…

A:

Q: Consider the relation R on R given by R = {(a, b) | a−b > 3 or a−b = 0}. (a) Show that R is not an…

A:

Q: 4- The orthogonal relation is A: symmetric and reflective relation B: symmetric and not reflective…

A:

Q: Determine whether the following relation is an equivalence relation or not. (a) G = {(x, y) |æ…

A: We have to determine whether the given relation is equivalence relation or not.