Let C = D = {-3, –2, – 1, 1, 2, 3} and define a relation S from C to D as follows: For every (х, у) € С Х D, -j is an integer. (x, y) E S means that a. Is 2 S 2? Is –1 S –1? Is (3, 3) E S? Is (3, –3) E S? b. Write S as a set of ordered pairs. c. Write the domain and co-domain of S. d. Draw an arrow diagram for S.

Q: List the ordered pairs in the relation R from A ={0,1,2,3} to B = {0,1,2,3} where (a,b) ϵ R, if and…

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Q: Let A = {4,5,6}and B = {1,3,5} and define relations R, S, and T from A to B as follows: %3D For all…

A: Relation : A Relation is a collection of ordered pairs. In othere word , If A and B are two sets the…

Q: Let E = {1, 2, 3} and F = {-2, –1, 0} and define a relation T from E to F as follows: For every (х,…

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Q: Let A={3,4,6,7}, and define a relation R on A as follows: For every x, y belong to A, xR y x|y.…

A: We first write elements of R then we form diagraph and then we write the corresponding adjacency…

Q: The relation on Z × N defined by, (a, b) ~ (c, d) if ad bc.

A: The objective is to show that the relation a,b~c,d then ad=bc is an equivalence relation. To show…

Q: Let A = {1,2} and B = {1,2}. Which of the following gives a relation satisfying the condition that…

A: Topic = Algebra 'd' gives a relation satisfying the given condition.

Q: Let R be a relation from Q to Q defined by R = {(a,b): a,b ∈ Q and a – b ∈ Z}. Show that:(i) (a,a) ∈…

A: i) Given that a ∈ Q  a-a=0 ∈ Z So, (a,a) ∈ R for all a ∈ Q (proved)

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

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Q: Let A = {0, 1, 2} and B = {1, 2, 3}. If an element x in A is related to an element y in B iff x = y…

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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: Let A = {x, y} and let S be the set of all strings over A. Define a relation C from S to S as…

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Q: 2. Let C = D= {-3,-2, -1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y)…

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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: Given a relation from Z (positive integer) to Z (positive integer) is defined as follows: ((m, n) E…

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Q: C. Let T be defined onN N by (a, b)T (c, d) if and only if a c and b 2 d. Write down the full nature…

A: We will use the basic definition of reflexive, symmetric, antisymmetric and transitive realtion.

Q: Let A = {4, 5, 6} and B = {6, 7, 8}, and let S be the "divides" relation from A to B. That is, for…

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Q: Define a relation P on Z as follows: For every ordered pair (m, n) E Z × Z, m P n + m and n have a…

A: a. 15 P 25 [Yes]Explanation:15 = 3 × 5 and 25 = 5 × 55 is prime so both of these numbers have a…

Q: Define a relation R on Z as follows: For all integers m and n, m R n 5| (m² – n²). a. Is 1 R (–9)?…

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Q: Suppose z = z(x,y) is x + y+z = e¬(x+y+z) , then which relation is correct? az D): az az az az 1 ду…

A: The solution is given as follows :

Q: Let A = {3, 5, 7, 8} and define a relation S from A to A as follows: %3D For all (x, y) E A × A, (x,…

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Q: - Let C= D=(-3,-2, -1,1, 2, 3) and define a relation S from C to D as follows: For all (x, y)e CxD,…

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Q: For each n E N, we write S" := {(x1, x2, ..., In+1) E R"+1 : E? = 1}. (1) Let f : S2 → Rª be the…

A: Given: Sn:=x1,x2,...,xn+1∈ℝn+1:∑i=1n+1xi2=1 for each n∈ℕ f:S2→ℝ4 is the function defined by…

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) ϵ…

A: Relation: A set is a ordered pair  is defined as a relation Let us consider the set A and B , then…

Q: Define the relation R on set A as follows: xR y if and only if { x, y} C A or {x, y} c A, or {x,y} <…

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Q: Given the relation of this table: 1|0 S 1|0|3 2 What is the rule for this relation? O 3 (n +1) 6 O 2…

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Q: y)∈R means that x²-y² is a nonnegative integer. Which of the following is true?     a. 1 R 2 b. 2 R…

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Q: = {4, 5, 6} and B = {6, 7, 8}, and let S be the "divides" relation from A to B. That is, for every…

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Q: 11. Let C= (0, 1, 2) and D= (2,4, 6, 8) and define a relation R from A to B as follows: For all (x,…

A: We have to determine the above terms for the given relation.

Q: 5. Define a relation Sfrom R to R as follows: For all (x, y) ERXR, (x, y) E S means that x 2y. a. Is…

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Q: Let G = {-2, 0, 2} and H = {4, 6, 8} and define a relation V from G to H as follows. For every (x,…

A: Given,            G=-2, 0, 2  and   H=4, 6, 8and  define a relation v from G to H as follows.For…

Q: Let E = {1, 2, 3} and F = {-2, –1, 0} and define a relation T from E to F as follows: For every (х,…

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

Q: Define a relation S from R to R as follows:…

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Q: 1. Let A = (2, 3, 4} and B = {6, 8, 10) and define a relation R from A to B as follows: For all (x,…

A: Relation

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…

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Q: Define a relation S from R to R as follows: For every (x, y) ER X R, (x, y) E S means that x> y. a.…

A: (a)It is given that the relation S from R to R is defined as for every (x, y) ϵ R × R, (x, y) ϵ S…

Q: 5. Let A={4, 5,6} and B= {5,6,7} and define relations R,S, and T from A to B as follows: %3D For all…

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Q: Let Z be the set of all integers and R a relation on Z defined R= {(x,y) E Z × Zx = y +1}.Which of…

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Q: Let D = {2,4,6} and E = (1,3,5}, define a relation R from D to E as follows, given that…

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Q: Let E =(1, 2, 3} and F = {-2, -1, 0} and define a relation T from E to F as follows: For all (x, y)…

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Q: Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S, and T from A to B as follows: %3D For…

A: Relation R is defined as:

Q: 6. Define a relation from R to R as follows: For all (x, y) ER X R, (x, y) ER means that y = x2. a.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 1. Let A (2,3,4) and B= (6,8,10) and define a relation R from A to B as follows: For all %3D (x, y)e…

A: Basic properties of sets and relations can be used to find the answer to this question keeping in my…

Q: Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S, and T from A to B as follows: For all…

A: To describe the relations R, S and T and find out if they are functions

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: 2. Let C = D = {-3, –2, –1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y)…

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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: Let A = {3, 4, 5} and B = {5, 6, 7}, and let S be the "divides" relation from A to B. That is, for…

A: Given A=3,4,5 and B=5,6,7. And let S be the "divides" relation from A to B that is for every ordered…

Q: Given A = {1,2, 3, 4} and B = {x,y , z}. Let R be the following relation from A to B: R =…

A: Given A=1,2,3,4 and B=x,y,z Let R be the following relation from A to B such that…

Q: 11. Let C= {0, 1, 2} and D= [2, 4, 6, 8) a relation R from A to B as follows: For all (x, y) E AXB,…

A: Given  :-  Let C =  0 , 1 , 2  and D =  2 , 4 , 6 , 8  and define a relation R from A to B as…