Let A = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here. Is the relation transitive? Explain why or why not.

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: 1. Consider the relation R = {(a, a),(b, b), (c, c), (d, d),(a, b), (b, a)} on set A = {a,b,c,d}. Is…

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Q: d. Define a relation R on {1, 2, 3, 4} by R = {(a, b) / a +b is even} and i. Write R as a list of…

A: According to the given information, Let R be a relation on {1,2,3,4} defined as:

Q: Part 2. Each relation given below is a partial order. Draw the Hasse diagram for the partial order.…

A: The relation given below is the partial order:a) The domain is if x evenly divides y.b) The domain…

Q: Part 2. Each relation given below is a partial order. Draw the Ilasse diagram for he partial order.

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Q: 2. For each of the following relations, indicate whether it is a partial order, a strict order, or…

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Q: Let A = {2, 3, 4, 5, 6, 7, 8) and define a relation Ton A as follows: For all x, y e A, xTy 31(x -…

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Q: d. Ris a relation on Z* such that (x, y) e R if and only if there is a positive integer n such that…

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Q: Consider the following relation on set B = {a, b, {a}, {b}, {a, b}}: P = {(a, b), (b, {a, b}), ({a,…

A: Given that, The set B is: B=a, b, a, b, a, b And, the set P is: P=a, b, b, a, b, a, b, a, b, a, a, a

Q: A person’s birth date consists of the month, day, and year in which that person was born. The domain…

A: Here, relation R is given as a set of people where no two people in group can have same date of…

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),…

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

A: Given that, A=a,b,c,d,e And R=(a,b),(b,c),(b,d),(b,e),(d,e) The graph for the diagram is,

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

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Q: let A= {a, b, c, d} and R= { (a,a), (a, c),(b,d),(c,a),(c,c),(d,b)} be a relation on A. draw a…

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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.…

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Q: 3. Which graph models the relation {(2, 1), (1, 2), (1, -2)}?

A: Given: The relations is {(2,1) , (1,2) ,(1,-2)}  which gives that 2→1     ⇒(2,1)1→2    ⇒(1,2)1→-2…

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

A: Step:-1 Given that A=a, b, c,  B=r, s, t, u And R=a, s, a, t, b, t that is,  Hence,  Domain of R =…

Q: Consider the relation A ≤ B if the properties of A are also contained in the properties of B. Let S…

A: Partial ordering :                     A relation R on a set A is called a partial order relation if…

Q: r1 1 1 0- 1 0 0 c) The matrix M represents the relations R defined. = 1 1 11 the set A = {1, 2, 3,…

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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: Write the relation depicted by G₂ as a set of ordered pairs. Define the adjacency matrix of G₂.…

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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: 2. In the set of all US states, a relation is introduced such that aR b iff "a borders b". a. Is the…

A: Answer given below.

Q: Let R be a relation from A to B and defined "x is at least twice as big as y." Write R as a set of…

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Q: 1. Let A & 2, 3, 4, 5, 6, 7, 83 and 9 and R a relation over A. Draw a directed graph of R after…

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Q: Write a function that returns true (1) if u and v have an edge in a directed graph represented by…

A: Since you are not mentioning the programming language, here we are using C++ to complete the…

Q: The relation Q is represented by directed graph below. A C D Write the relation as a set of ordered…

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Q: The path of a rock thrown off a cliff can be modeled by a relation in vertex form, y = a(x - h)2 +…

A: The objective of this question is to find the values of a, h, and k in the equation y = a(x - h)^2 +…

Q: Let S be the set {a,b.c} and the relation R on S is…

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Q: 3. Let S = R × R and R be the relation on S defined by (a, b)R(c, d) iff a+c=b+d. Determine whether…

A: Reflexive: (x,y) R (x,y) As x+y=x+y Symmetric : if (a,b)R(c,d) then a+b=c+d. Since c+d=a+b then…