-7. For each of the following relations ~ Z then , say се хчу b. xy if and 0.) on the integers is an equivalence relation. Explain if and only if x≤y only of +-y is even only of

Q: Let A = {a,b,c}. Is the following relation on A an equivalence relation? ~= {(a,b), (b,c), (a,a),…

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

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Q: is the following relation a functic {(1, 5), (-1, 7), (1, 8), (-4,9)} yes no

A: 1, 5, -1, 7, 1, 8, -4, 9.

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Q: Q4) Let S be the set of registration numbers of students enrolled in a BSCS program in a university…

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Q: 7. Let (a, b), (c,d) E R2. Define a relation ~on R² by (a, b) (c,d) if 2a - b = 2c-d. (a) Show that…

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Q: NXN set on " (a,b)~ (c,d) -) a+d -b+c %3D define d as, equiualence relation? Shaw Is reation ""

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Q: We have defined the relations ≡6 and ≡10 to be certain subsets of Z^2 . Their intersection R =…

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Q: 4. For (1, yı) and (r2,y2) in R² we set (11. yı) ~ (12. Y2) →{+ =3+ yi. (a) Show that ~ defines an…

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A: A relation R is called an equivalence relation if : R is Reflexive, i.e. aRa  R is Symmetric, i.e.,…

Q: A 1 2 3 O A. Congruent B. Supplementary C. Complementray O D. Equal B.

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Q: For each of the relations ~ on the integers ~ is relation, explain your an equivalence following…

A: A relation on a set is said to be equivalence relation if it is reflexive, symmetric and transitive

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Q: A relation ~ is defined on the set of all pairs of integers by the formula (m,n) ~ (u,v) m - An =…

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Q: 4. Let S be a set and RC S × S. Given elements a and b of S we say that a is related to b if (a, b)…

A: Hey, since there are multiple subpart posted, we will answer first 2 questions. If you want any…

Q: Let R=}(x,y)|2 divides 8x+by} be a relation the Set H= {1, 2,3.4,5, 6. 10 Determine whether the…

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Q: 9. The relation ~ defined on the set of natural numbers by a ~ b means 'a – b is even is : A. an…

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Q: In each of the following cases of a set X and relation determine whether ~ is reflexive, symmetric,…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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 ,…

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Q: For each relation, indicate whether the relation is: \ item Reflexive, anti-reflexive, or neither \…

A: (a) From the given data the relation is xLy if x<y. (i)For every x∈ℝ,  since x is not less than x…

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Q: (Chapter 11.4, #3) The relation relation. Sketch it, by drawing Z as a subset of the line, then…

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Q: 1(b). Is (p->q)->[(p->q)->q] a tautology? Why or why not?  (c). Given the relation on the set .…

A: We are entitled to solve only one question at a time. Please submit another question separately. To…