Let A={1,5,6,8,10} and R={(1,1), (5,5), (8,8), (10,10),

Q: Which of the following relations is a partial order relation defined on A={1,2,3} O a. R =…

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Q: 10. What is the domain of the relation shown below? (1) {0, 1, 4} (2) {-2, –1, 0, 1, 2} {(4, 2).(1,…

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Q: 5. Let R and S be relations on a set A. Use proof by contradiction to show that if R and S are…

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Q: Determine whether the given relations are partial order or equivalence relation on A = {1, 2, 3, 4,…

A: 1. This relation satisfies all the conditions of equivalence relation i.e reflexive, symmetric and…

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: 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: E. 1. Let R = {(0, 0), (1, 2), (2, 1), (2, 3), (3, 3)}be the relation on A = {0, 1, 2, 3}. Then, R2…

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Q: c) The Hasse diagram below represents the partial order R on the set X = {1, 2, 3, 4, 5} 4 3 5 2 i)…

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Q: 8. Which of the following relations is a partial order but not a linear order for A=(1,2,3}: *…

A: PARTIAL ORDER:                                                         ' A relation R is said to be…

Q: 6. Let A = {1, 2, 3, 4} R = {(1,2), (1,3), (2,3), (2,4), (3,1)} S= {(2,1), (2,4), (3,2), (3,3),…

A: Given  A=1,2,3,4R=1,2,1,3,2,32,4,3,1S=2,1,2,4,3,2,3,3,4,3

Q: estion has 2 parts. : The drawing below shows a Hasse diagram for a partial order on the set: С, D,…

A: Given: Hasse diagram on partial order on set {A,B,C,D,E,F,G,I,J} To determine the properties of…

Q: Let R be the relation {(1,2),(1,3),(2,3),(2,4),(3,1)}, and let S be the relation…

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Q: Let A={ 1, 2, 3, 4, 5} R={ (1,1), (1,2), (2,1), (2,2), (3,3), (3,4), (4,3), (4,4), (5,5) } Write the…

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Q: 3. Show that the relation R (called lexicographic ordering) defined on Z x Z by: (a, b)R(c, d) if (a…

A: The lexicographic ordering relation R on ℤ×ℤ is defined by, a, bRc, d if a>c or a=c and b≥d Show…

Q: Exercise 5.2.1: Here are two relations: R(A, B): {(0,1), (2,3), (0,1), (2,4), (3,4)} S(B,C): {(0,1),…

A: Given: a. Compute πA+B, A2, B2R A B A+B A2 B2 0 1 1 0 1 2 3 5 4 9 0 1 1 0 1 2 4 6 4 16…

Q: 7. Let R be the following equivalence relation on the set A = {1,2,3,4,5,6};: R = {(1,1),(1,5),…

A: Equivalence class of R= R  =a=x∈A :aRx 1=1,52=2,3,63=2,3,64=45=1,56=2,3,6

Q: 11. What is the domain of the relation show in the graph? O (-5,-4,-2,0,3) O (-3,-1,1,5) O (1,5) O…

A: Graph of a relation is the collection of ordered pair of points (x,y) in the cartesian coordinate…

Q: Click and drag on elements in order Suppose that A = {1, 2, 3, 4, 5 } and B = {1, 3, 5). Let R₁ =…

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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 =…

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Q: What are the minimal elements of the partial order? What are the maximal elements of the partial…

A: The minimal element is an element which is not greater than any other element Therefor I, A ,F are…

Q: Which relations are partial order? O A={5,6,8,10,20} and R={ (a,b) E A x A; a divides b} O Let…

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

A: Let R be the relation on the set 1 , 2 , 3 , 4 , 5 containing the ordered pairs  1 , 1 , 1 , 2 , 1 ,…

Q: Let X = {1, 2, 3, 4}. Let R = {(1, 3), (2, 1), (2, 2), (2, 3), (2, 4), (3, 3), (3, 4), (a, b) },…

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Q: Construct a Hasse diagram from the partial order R = {(6, 1),(6, 5),(7, 1),(7, 4),(7, 3),(7, 5),(2,…

A: # we are entitled to solve three subparts . Please resubmit the other parts if you wish to get them…

Q: Let S = ((a), b, (a, (b)]), c). Which one of the following relations on S is a strict partial order?…

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Q: The figure below shows an arrow diagram for a partial order: 8 What are the maximal elements in the…

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Q: Which of these relations on {O, 1, 2, 3} are ?equivalence relations а) (0, 0), (1, 1), (2, 2), (3,…

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Q: True/False: The relation R = {(a, a), (a, b), (b, a), (b, b), (c, c), (a, c), (b, c), (c, b), (d,…

A: The given set is                         S = { a , b , c , d }  and the given relation is…

Q: 10. What is the domain of the relation shown below? {(4, 2),(1, 1).(0, 0),.(1, –1),(4, –2)} (3) {-2,…

A: Given relation is : 4,2,1,1,0,0,1,-1,4,-2 To find the domain of the given relation.

Q: 2. Let R be the relation on the set A = {1, 2, 3, 4, 5, 6, 7} defined by the rule (a,b) eR if the…

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Q: b) 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 |…

A: The given set is  A= { 2,4,6,12,16,18,24,32} Required to prove : the given relation is a partial…

Q: Let S = (0, 1, 2, 3} and the relations A, B, and C on S are as follows: %3D A = {(0, 0), (0, 1), (0,…

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Q: 3) Let A = {1, 2, 3, 4, 5, 6, 7, 8}. How many possible symmetric relations over A contain the…

A: Given A=1,2,3,4,5,6,7,8 contains the ordered pair 2,3,3,24,7,5,5 and 8,7 Since, for the diagonal…

Q: Let R and S be the relations defined as below 2. R = {(1,2), (1,3), (2,3), (2,4), (3,1), (4,1)} S =…

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Q: Which of these relations on {0,1,2,3} are equivalence relations or a partial order? Determine the…

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Q: R(A, B): {(0, 1), (2, 3), (0, 1), (2, 2), (3, 2)} S(B, C): {(0, 1), (2, 4), (2, 5), (3, 4), (0,…

A: Given, R(A, B): {(0, 1), (2, 3), (0, 1), (2, 2), (3, 2)} S(B, C): {(0, 1), (2, 4), (2, 5), (3, 4),…

Q: 6. Let R be the partial order which has the Hasse diagram shown. List the elements of R.

A: R is a partial order relation means, R is reflexive, anti-symmetric & transitive. If R is a…

Q: Which relations are partial order? O None of the propsed relations O A={5,6,8,10,20} and R={ (a,b) e…

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Q: Let A = {1, 2, 3} and consider the relation R = {(1, 3), (2, 3), (1, 1), (2, 2)}. Then R is neither…

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Q: 6) 13. Let S = {a,b,c,d}. Let r be the partial order {(a,a),(b,b), (c,c),(d,d),(b,d),(c,a)}. Give…

A: (6) 13. Let S = {a,b,c,d}. Let r be the partial order {(a,a),(b,b), (c,c),(d,d),(b,d),(c,a)}. Give…

Q: Let R be the reltions R = (refer to image).

A: Consider the provided question,

Q: 1. Let A = {1, 2, 3, 4, 5, 6}. Write out the relation R that expresses | (divides) on A.

A: The relation R that express |(divides) on A is represented by, R={(x,y)| x,yϵA, x|y}

Q: 10. What is the domain of the relation shown below? (1) {0, 1, 4} (2) {-2, –1, 0, 1, 2} {(4, 2),(1,…

A: domin of given relation is option a is correct.

Q: II. Identify the correspondence in the following relations 8 3 1.) 5 2.) 5 4 3 4 8 8 4.) -2 -3 -4 -5…

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Q: Construct a Hasse diagram from the partial order R = {(6, 1),(6, 5),(7, 1),(7, 4),(7, 3),(7, 5),(2,…

A: Image is attached.

Q: Let B = {1, 2, 3, 4} and S be the relation defined by S = {(1,1), (1,3), (1,4), (2,2), (2,4), (3,3),…

A: Let B = {1, 2, 3, 4} and S be the relation defined by S = {(1,1), (1,3), (1,4), (2,2), (2,4),(3,3),…

Q: * ?Which of these relations on {0, 1, 2, 3} are equivalence relations a) {(0, 0), (1, 1), (2, 2),…

A: A and C are the equivalence relations

Q: A) List all reflexive relations can be defined on set {a, b}. B) List all ordered pairs in the…

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Q: Which of these relations on {0, 1, 2, 3} are * ?equivalence relations а) ((0, 0), (1, 1), (2, 2),…

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Q: The second question: If { 1,2,3,4,5,6,7 }= A and R is a relationship defined in A as follows: R =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…