. Draw the Hasse diagram of the relation R on A, where A = (1, 2, 3, 4}, and R = {(1, 1), (1, 2), (2, 2), (2, 4), (1, 3), (3, 3), (3, 4), (1, 4), (4, 4)}

Q: B. Consider the following relation on {1, 2, 3, 4, 5} R1 = {(1,1), (1,2)(2,1)(2, 2), (3,4), (4,3),…

A:

Q: 1. Let S = {1,2, 3, 4}. (a) How many relations are there on S? (b) How many are reflexive? (o) How m…

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Q: Let A = {1, 2, 3, 4, 5}. Define the following relations on A. R1 = {(1,1), (1,2), (2,1), (3,2),…

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Q: If A (1,3.4) and R is a relation defined on A as: R = {(r.y) E Ax A:r-y is odd ), Then relation Ron…

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Q: 13 - Let A={0,1,2,3} and R be the following relation on A: R= {(0, 0), (0, 1), (O, 2), (1, 0), (1,…

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Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O [1, 2), (3, 4), (5, 6}} O…

A: Here we have X={1,2,3,4,5,6} We have to determine the relation on X.  A relation defines the…

Q: Let A = { 3, 9}, R relation on A defined R by. R = {(a, b): a +b = 12 ,a, b E A }. Write R. O a. {…

A: Given that A={3,9} R is a relation on A defined by R={(a,b):a+b=12,a,b belongs to A}

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

A: Relation : A relation from a set A to a set B is a subset of A×B. i.e. a relation R consists of…

Q: Let A = { 2, 3, 4, 6 } and B = { 6, 8, 10 } and define a relation R from A to B as follows: For all…

A: Given that : A = {2, 3, 4,6} and B = {6,8,10} define relation  A*B→R R = {(x ,y): yx is an integer ,…

Q: In the set A = {1,2, 3, 4} is defined a relation R by ? = {(1,1), (1,3), (3, 4), (4, 3)}. ndicate…

A: Given A = {1, 2, 3, 4} R = {(1, 1), (1, 3), (3, 4), (4, 3)}

Q: Let B = {0, 1, 2, 3} and the relations R, S, and T on Z are as follows: R = {(0, 1), (1,1), (2,…

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Q: Suppose R and S are relations on {a, b, c, d}, where R = {(a, b), (a, d), (b, c), (c, c), (d, a)}…

A: we have given relations R and S on {a, b, c, d} and we need to find composition R∘S

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

A: To find the composition of two relations R and S . the domain of S°R will be same as domain of R…

Q: Let A={1,2,3,4} and let R, S, T, and U be the following relations: R={(1,1),(1,2),(1,3),(1,4)}…

A: Given :  A={1,2,3,4} and let R, S, T, and U be the following relations: R={(1,1),(1,2),(1,3),(1,4)}…

Q: Let R, and R2 be relations on a set A = {1, 2, 3, 4}. In particular, let R, = {(1, 1), (1, 2), (2,…

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Q: Let A = {2, y, 6} and B = {x, 4, z}. which of the following are relation from B into A O a. R = {(2,…

A: We have to find that relation

Q: If R is a relation defined from the Set A = { 6,12,25,36} to the set B = {3,4,5,6} as follows: If R…

A: NOTE-AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN ONE SESSION SO, I HAVE ANSWERED FIRST THREE…

Q: Let

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Q: Let A = {0, 1, 2} and B = {0, 8, 9}. If R is the relation from A to B such that (a, b) ∈ R provided…

A: If ab=0 then either a or b is equal to 0 Both also can be 0.

Q: Let R = { ( a, b ), ( a, d ), ( b, d ), ( c, a ), ( c, c ), ( d, b ), ( d, c ) } be a relation on…

A: Given: R=a,b,a,d,b,d,c,a,c,c,d,b,d,c   The relation R2 contains all ordered pairs (x, z) if (x, y)…

Q: Let {2,3,4}{2,3,4} and {8,9,10}{8,9,10}. Define a relation H from A to B such that (x,y) ∈ H if and…

A: Given that:                      A={2,3,4}B={8,9,10}H is an relation from A to B such that: (x, y)∈H…

Q: Which of the following relations is the Symmetric relation over the set A= {3,5,13}…

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Q: Which of the following sets of ordered pairs represents a relation that is not a funetion? (1, 1),…

A: We know that set of order pairs like (x,y) forms a relation. Now, when a relation contains a special…

Q: 4.4.5 Write out the following relations as subsets of the Cartesian pod (a) The relation on N…

A: (a) The relation given is already a subset of the Cartesian product N x N. It can be written as…

Q: 9. Let X = {r1,12, 23, T4}, Y = {yı,y2, Y3}, and Z = {zı, z2}, Let R be the relation from X to Z…

A: Given: 9) X=x1, x2, x3, x4, Y=y1, y2, y3 and Z=z1, z2, z3. R=x1, z1, x2, z2, x3, z1, x3, z2 and…

Q: Let A = {2,3, 4} and B = {6,8, 10}, and define a relation R from A to B as follows: For all (x, y) E…

A: According to Bartleby guidelines I can only answer only one question out of two you have given. Also…

Q: B. Consider the following relation on {1,2, 3,4,5} R1 = {(1,1), (1,2)(2,1)(2, 2), (3,4), (4,3),…

A: Here for second  R2 = {(1,1) , (1,2) , (3,1) , (4,3)} For transitive the condition must satisfy…

Q: Suppose A,S C U, (<) E LOrd(A), and B := (a1, b1), (a2, b2) E (A × B): D(S). If we define a relation…

A: Given A,S⊂A ≤ is the lattice of A. B is the power set of δ , P(S) so if b1,b2 be two subsets of B.…

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: 2. A. Consider the following relation on {1, 2, 3, 4, 5} R1 = {(1,1), (1,2)(2,1)(2,2), (3,4), (4,3),…

A: A=1,2,3,4,5A reflexive relation is the one in which every element maps to itself.Therefore reflexive…

Q: Let {2,3,4} {2,3,4} and {8,9,10} {8,9,10}. Define a relation H from A to B such that (x,y)∈H(x,y)∈H…

A: Given A={2,3,4} B={8,9,10}

Q: Question 6 For each of the relations on A ={1, 2, 3} below, R= {(1, 1), (1, 3), (3, 3)}, S = {(1,…

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Q: For each of these relations on the set {1,2,3,4}, draw the graph of the relation: {(1,1), (2,2),…

A: For each of these relations on the set {1,2,3,4}, to draw the graph of the relation.

Q: Let X = {a, b, c, d, e,f} and S be the relation on X defined by S = || {(а, а), (а, b), (а, с), (а,…

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Q: List the ordered pairs in the relation R from A={0,1,2,3,4} to B={0,1,2,3} where (x,y) R if only if…

A: 1. As 0≤0, 0≤1, 0≤2, 0≤3, 1≤1, 1≤2, 1≤3, 2≤2, 2≤3, 3≤3 So the ordered pairs relation is R = {(0, 0),…

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: Let A = {3, 5, 6} ,R relation on A defined by R = {(a, b) : a < b, a, b e A}. rit O a. {(5,3),…

A: If A= {3, 5,6} , Where R = {(a, b) : a&lt;b, a, b€A) } Find R?

Q: 1. Give the domain and range of the relation. 13 0. 0. -3 -5 a. D: {2, 6, –3, 5, 13, –5}; R: {0} b.…

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Q: B. Consider the following relation on {1,2, 3,4, 5} {(1,1), (1,2)(2,1)(2, 2), (3,4), (4,3), (4,4, ),…

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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}…

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Q: Let A = {3, 5, 6), R relation on A defined by R= {(a, b) : a > b, a, b E A}. Write R. %3D O a.…

A: Given that: A set, A = {3,5,6}     R is a relation given by, R={(a,b): a&gt;b, a, b∈A}

Q: (4) Let A={0,1,2}. R is a relation defined on A as: V x.y E A, xRy 2|(x-y). Represent R using set…

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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: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6 e (yes or no) whether R has…

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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: 2. Let X = {a,b, c, d, e, ƒ} and S be the relation on X defined by S = {(a, a), (a, b), (a, c), (a,…

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Q: 14. The number of ordered pairs in the relation R from = {0,1,2,3,4} to B = {0,1,2,3} where (a, b) E…

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Q: Let C = {1, 3, d, e}. Let R = {(1, 1), (1, 3), (1, e), (3, 3), (3, d), (e, 3) be a relation on C.…

A: The given set is C = {1,3,d,e} and the given relation is R={ (1,1),(1,3),(1,e),(3,3),(3,d),(e,3) }…

Q: Let R be the relation on S = {a,b,c, d} given by the following digraph: b Then None of these R = (a,…

A: