QUESTION 1 Is relation R on set of all integers reflexive where (x,y) ER if x is a multiple of y? True False QUESTION 2 Is previous relation symmetric? yes, because if (x,y) ER then (y,x) ER no, because (8,2) ER but we cannot say (-2,-8) ER no, (3,5) ER is a counterexample cscano: (24) is a counterexample

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Q: 3. Let the relation R on X = {1,3,5, 6, 8, 9, 11} be such that xRy means "x – y is a multiple of 3".…

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Q: Question 33 With a binary relation R (defined below) on A and each tuple (a, b) indicating that a is…

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Q: Is previous relation antisymmetric? True False QUESTION 11 Is previous relation a partial ordering?…

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Q: The relation D is defined on the set P = {6, 9, 15, 54, 78, 90} by the rule: n1 D n2 exactly if (n2…

A: (i) The relation D is defined on the set P=6, 9, 15, 54, 78, 90 by the following rule: n1 D n2…

Q: he equivalence class of 3 for the relation congruence modulo 7 is given by O [7], =…

A: The congruence class of 3 for the relation : congruence modulo 7 is given by,

Q: Which 4-tuples a 0<a<b<c<d<6}. are int the relation {(a, b, c, d)|a, b, c, d are integers with

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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: Let S be the set of all ordered pairs of non-negative integers. Let R be a relation defined on A…

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Q: How do you find the equivalence class of 7 for mRn where R is a relation on the set of integers iff…

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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: • Relation "z + y is divisible by 5" on integers z, y is an equivalence relation. Circle the answer:…

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A: It is equivalence relation if (a, b) belongs to ZxZ

Q: Describe the equivalence classes of the relation R = {(a, b) : a € Z, b E Z, 13 divides (a – b)}

A: a equivalence class is a subset of the set on which the relation R is defined such that all elements…

Q: The equivalence class of -2 for the relation congruence modulo 5 is о (... -11, -6, —1,4, 9, 14,…

A: Second option is correct.

Q: 9. Define a relation R on {-2,-1,0, 1, 2, 3, 4, 5, 6, 7} by a R b if and only if 3a+b is a multiple…

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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: 1. Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False…

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Q: Show that for primitive statements p, q, pvq [(p^¬q) v (p^q)] →→(p→q).

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Q: Consider following relations on the set of positive integer: R₁ = {(a,b) | a> b} R₂ = {(a,b) | a =…

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Q: Suppose that we are interested to count the number of integers not divisible by 7, 8, 9 between 1 to…

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

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Q: (d) Give an example of an equivalence relation on the set f1,2, 3} with exactly two equivalence…

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Q: 7. For each of the following relations on the set of all real numbers, solve all of the subparts as…

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Q: (c) z-y is an integer A. Reflexive B. Symmetric C. Transitive D. None of the above (d) x+y=0 A.…

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Q: 3) Arithmetical subtraction (-) is binary relation on * O Q Z+ Z- ON

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Q: 6. (a, b), C

A: Let R be the relation on the set of ordered pairs of positive integers such that a,b,c,d∈R if and…