given the relation R define = (0,0), (0, 1), (0, 3), (1, 1), (1,0), (2, 3), (3, 3) on the set A = 0, 1, 2, 3 draw the directed graph and determine whether the relation is reflexive, symmetric, and transitive.

Q: Draw the directed graph of the relation R = {(1,2), (2,1), (1,1), (2,2), (3,3), (4,1)} X=123 43

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Q: Let A = {3,4,5,6,7,8} and define a relation R on A as follows: For every x, y E A, x R y + 2|(x –…

A: The arrows between two numbers or the number and itself must differ by a multiple of 2 ie, 0,2,4,6,8…

Q: For the relation R closure of R. {(1,2), (1,4), (3,3), (4, 1)} find (i) R2 (ii) R3 and (iii)…

A: The given relation,

Q: Which of the following relations on the set A = {0, 1, 2, 3} is an equivalence relation? Check all…

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

Q: Let A={1,3,4,12,24,48} and R a relation on A such that aRb⇒a divides b. Then the number of edges in…

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Q: Define a relation Rg on the set A = {0, 1, 2, 3} as follows. R5 = {(0, 0), (0, 1), (0, 2), (1, 2)}…

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Q: Let A = {2, 4, 6, 12, 16, 18, 24, 32} and R be the relation on A where x R y if and only if x | y.…

A: A= 2,4,6,12,16,18,24,32 R is define as xRy if x/y  so, R = (2,2) (2,4), (2,6) (2,12) , (2,16) (2,18)…

Q: Given a relation, R on A = {a, b, c, d} on as follows: R = {(а, а), (а, b), (а, d), (b, b), (b, с),…

A: Relation as a Matrix: Let A = {a1,a2,a3,.......am} and B = {b1,b2,b3......bn} are two finite sets,…

Q: 4. Consider the relation R = {(-3, –3), (-3, –5), (-5, –7), (–7, –3), (–7, –7)} on the set А 3D {-1,…

A: We have to  (a) To Draw Directed Graph.  (b) To find R2=RoR.

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:

Q: Consider the relation ? = {(1,1), (1,3), (2,2), (3,1), (4,4)} on the set {1,2,3,4}. Find the…

A: Consider the relation R = {(1,1), (1,3), (2,2), (3,1), (4,4)} on the set {1,2,3,4}. We need to find…

Q: Q3: Let A = {a, b, c, d} and define relations Ri. R, Rs, and Ri on A, what would be their directed…

A: As per bartleby guidelines for more than three subparts in a question only first three should be…

Q: Given the relation R = {(1,2), (1,3), (2,4), (3,1), (4,2), (5,4)} on the set S = {1,2,3,4,5}. a)…

A: Given R=1,2,1,3,2,4,3,1,4,2,5,4.

Q: Consider the set A ={(1, 3), (2, 4), (-4,-8), (3, 9), (1, 5), (3, 6). Define the relation R on A as…

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Q: 13. Let A be the set A = {a, b, c, d}. Consider the relation R on A given by R = {(a, a), (b, b),…

A:

Q: Let A = {2, 3, 4, 5, 6, 7, 8} and define a relation T on A as follows. For every x, y Е А, хТу —31(х…

A:

Q: Define a relation R, on the set A = (0, 1, 2, 3) as follows. R, = {(0, 0), (0, 1), (1, 1), (1, 2),…

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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: Let R be a relation on the set {a,b, c, d} R = {(a, b), (a, c), (b, a), (d, b)} Find: 1) The…

A: According to the given information,

Q: 8. Define a relation R on the set J = {0, 1,3,4,5,6} as follows: For all x, y EJ, x Ry ⇒ 4x² + y².…

A:

Q: Let A = {6, 8, 13, 15, 9, 16} and define a relation R on A as follows: xRy ⟺ 7 |(x – y) Draw a…

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 = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here.…

A: In mathematics, a homogeneous binary relation R on a set X is reflexive if it relates every element…

Q: Define the relation R on Z as follows: for x, y ∈ Z, xRy if and only y−x ≥ 0. Determine whether R is…

A: partial order means reflexive and antisymmetric.

Q: Let R be a relation over set A. Let A = {1,2, 3, 4, 5, 6} and let R = {(a, b) e A² : |a – b| > 3} a)…

A: A relation R on a set A which is a subset of  A×A is said to be reflexive if for any x∈A,x,x∈R.  A…

Q: Q2. (a) Find the equivalence class [-3]5 (b) Find the ordered pairs of the relation R from the set A…

A: We have to answer the following questions :  (a) Find the equivalence class  -35 (b) Find the…

Q: Let A = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here.…

A: A relation R on a set A with elements a, b and c is said to be in a transitive relationship, then if…

Q: (b) Let A = {1,2,3}. Consider the relation R on A given by R = {(1,2), (1,3), (2,1), (2,3), (3,2)}…

A:

Q: Let A = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here.…

A: We have: The relation is: R=a,c,b,a,c,d,d,b

Q: 6. Let A {1,2, 3, 4, 5} and define a relation on A as follows: For all x, y E A, %3D xRy + x+ y is…

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Q: R.5. Define a relation < on the set of ordered pairs of real numbers (x, y) as follows:…

A:

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: Determine if the relation R = {(1,3), (1,4), (2,3), (2,4), (3,4)} is reflexive, symmetric,…

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Q: Let X = {0, 1, 2, 3, 4}. Draw a relation R on X such that xRy if x + y = 4. a. Draw the graph…

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Q: a) For the relation R on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is an…

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Q: Why

A: The given relation  R={(3,3),(4,4),(6,6),(7,7),(3,6),(6,3),(4,7),(7,4)}

Q: Define the relation r on S = {A, B, C, D} by r ={ (A,B), A,D), (B,A), (B,C), (C,A), (C,B), (D,B)}.…

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Q: d b

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Q: Exercise 19. Let R be the relation given by the following digraph. Then (2)- a. (1.2.3) b. (1.3) c.…

A: Given - Let R be the relation given by the following digraph To find - Then 2 = ? 1, 2, 3 1, 3 3…

Q: 1. Let A = {cat,dog,bird,rat} and R be a relation on A defined by {(x,y) : x and y have at least one…

A: We have to solve given problem:

Q: Consider the relation R = {(a, 6), (6, 6), (6, c), (c, b), (c, c), (d, a), (d, c), (d, d)} on {a, 6,…

A: Given: R=a,b,b,b,b,c,c,b,c,c,d,a,d,c,d,d (a) Diagraph of R is as follows:

Q: Let R be a relation on the set {a, b, c, d} R= {(a,b), (a, c), (b, a), (d, b)} Find: 1) The…

A: According to the given information,

Q: Let R be the relation on a set {1,2,3,4,5} containing ordered pairs (1,1),…

A: A relation R is called reflexive on a set A if (x,x) is in R for all x in A. A relation R' is called…

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: Let A= {5,6,7,8,9,10} and define a relation S on A as follows xSy 2|(x-y) (a) Is 5S6? Why? (b) Is…

A:

Q: Let A = {cat, dog, bird, rat} and R be a relation on A defined by {(r, y) : x and y have at least…

A:

Q: 2. Let D be the set {xEZ I 2<x<7} and relation M on D defined by: xM y→x and factor AND x< y. y have…

A: Note:- As per our guidelines, we can answer the first three sub-parts of this problem. Please…

Q: Let R be a relation on the set A = {1,2,3,4,5, 6} defined by R = {(a,b) E A x A| a + b < 9}. a. List…

A: A ={1,2,3,4,5,6}

Q: Consider the digraph below. a) List the ordered pairs in the relation represented by the directed…

A: Given: A digraph  To find: a) List of ordered pairs in the relation represented by digraph. To…