Write V as a set of ordered pairs. (Enter your answer in roster notation.) (c) Write the domain set of V. (Enter your answer in roster notation.)   Write the co-domain set of V. (Enter your answer in roster notation.)

Q: Is -2 in domain or not in domain, is 0 in domain or not in domain, is 3 in domain or not in domain

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Q: Determine the domain and range of the following relations using set builder notation. а. b. 2. 3 1 2…

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Q: What is the natural domain?

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Q: Determine whether the given relation is reflexive, symmetric, transitive and an equivalence…

A: By definition of  relation it is define as A relation is symmetric if and only if (b, a) ∈ R…

Q: Describe in words an example of a binary relation on A. Your example should be a single concise…

A: If set A has n elements than number of relation on A is 2n.n.

Q: Identify each representation that describes the relation shown in the table below -2 -3 7. 11 13…

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Q: on the set of real numbers x^2 + y^2 =1 what binary relation is that? Please provide detail…

A: The objective is to check the binary relation for the relation x^2 + y^2 =1 in set of real numbers.…

Q: Write the set using the roster method. C={a|ais a multiple of 3and18≤a≤34}

A: Given, C={a|ais a multiple of 3 and 18≤a≤34}   Here a is a multiple of 3 and it lies between 18 and…

Q: Simplify the set expression (X∩Y’) ∪ (X∩Y)~X’ using the Laws on Sets.

A: (X∩Y') ∪ (X∩Y)=(X∩Y') ∪ X ∩ (X∩Y') ∪ Y  distributive property, A∪(B∩C)=A∪B∩(A∪C)=X∩ (X∩Y') ∪ Y…

Q: -3

A: Given information: x/x≤4∪x/x≤-3 where The symbol  '|' placed between 2 x's stands for such that.

Q: find the natural Domain and vange D y= Janzs

A: We have to find the domina and range of the function 1. y=x2-362. y=-x32

Q: Sets can be written by description, roster, or set-builder notation. Write the given set in two…

A: Recall: One way to specify a set is to give a verbal description of its elements. Roaster form :…

Q: Consider the relation R = {(a, b), (a, c), (c, c), (b, b), (c, b), (b, c)}. Is R reflexive,…

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Q: Consider the relations given below: xRy:x loves y xRy:x2y iii. xRy:x is in the same classroom with y…

A: If x = y and y = x then we can say that relation is symmetric relation.

Q: Exercise The Pollowing relations are clefned on the Set of real number IR - Determine whether these…

A: This is a problem of set and relation.

Q: Is Ra partially ordered relation ? ? . Why ?..

A: Solution is below provided

Q: Verify the relations (5).

A:

Q: Draw the shape of relation z - V3e Зе V3.

A: We are given the relation : z-3eiπ3=3---(1) Now, Let, z=x+iy---(2) Now, 3eiπ3=3cosπ3+i…

Q: Let X = {a} and y = {a, b}, do the following. (a). Use the set-roster notation to write set (X x X)…

A: Define a relation which violate the well define ness

Q: Let S(x) =  “x is a student at Hostos Community College”; F(x) = “x is a faculty member at Hostos…

A: Given that, Let S(x) =  “x is a student at Hostos Community College”; F(x) = “x is a faculty member…

Q: Determine the domain of the following

A: Given,

Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: Find the first 5 terms of the recurrent relation below. An = 2An-1 + 3An-2 where n ≥ 1, and A0 = 1…

A: Using simple calculation

Q: Suppose R1 and R2 are relations on A. If R1 and R2 are both reflexive, then R1 N R2 is reflexive. O…

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Q: Let A = {x € Z*:x|12} and B = {x € Z*: 3|x}. List the elements of AOB.

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Q: Essentials of DISCRETE MATHEMATICS   Q: Shot that the relation “congruency modulo n” is an…

A: We have to show that the relation “congruency modulo n” is an equivalence relation.

Q: Give an example of a set of numbers that is: a. Closed under both addition and multiplication. b.…

A: a. Set of real numbers b. Set of odd natural  numbers c. Set of irrational numbers

Q: Je fine a binary relation Rond by R= [(y)] ER² x ус

A: Given is : R={(x,y)}∈R2:x-y∈Q We have to show that it is an equivalence relation.

Q: Give the domain of y=√2-x using set builder notation

A: We know For a real valued function y=f(x) if domain of f(x) is D then domain of y is {x∈D: f(x)≥0}

Q: Which set represents the same relation as the gra 4 2- 6-5-4-3-2-1. 1 2 3 4 56 2. -3. 寸 LO CO ....…

A: Given graph is

Q: Express the set of real numbers between but not including 2and 7 as follows.(a) In set-builder…

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Q: Find the number of relations from the set A {a, b, c} to the set B = {1,3}

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Q: Find the complement of the set given that U={x xEI and -3<x<9}. (Enter your answers as a…

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Q: Decide whether the following relations is a partial order or not. (a, b) | a Í b, a and b are…

A: We have to decide whether given relation is partial order or not?

Q: (a) Write the domain of K.

A: Given,

Q: Write the set {x : x is a positive integer and x2&lt; 40} in the roster form.

A:

Q: Write the set T={ x | x ER, x²=4 or x² = 25} in list form.

A: A set, in its list form, lists all its elements separated by commas within a pair of curly-braces .…

Q: Write the relation R = {(x, x3) : x is a prime number less than 10} in roster form.

A: Prime numbers less than 10 are 2,3,5,7

Q: Give an example of a set of numbers that is: a.Closed under both addition and multiplication.…

A: (a) Set X is closed under addition if any two elements x, y in X such that x + y in X  Set X is…

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: It was noted that the binary propositional operators, A and V, can be regarded as functions, f: B x…

A: For any binary operator, number of rows in the truth table =4 Each row can have either True or False…

Q: (d) Is 4 an inverse image of a? O Yes O No Is 2 an inverse image of b? O Yes O No (e) What is the…

A: Here we solve the given problem of set.

Q: Show that if for a relation R we know that R^2 ⊆ R, then R is transitive, and conversely.

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Q: A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain…

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Q: The number of relations on the set A = {1, 2} is 256 . O True False

A: Number of relation with n elements 2n2

Q: Suppose that R is a relation. Show that R C dom(R)×ran таn(R).

A: Given R is a relation. Let R be relation on a set A. Now define domain and range of relation R as…

Q: Write the set X = {... -1, -0.9, -4/5,-0.7, -3/5, -1/2, -2/5, -0.3, -1/5, -0.1 0,0.1, 1/5, ...} in…

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Q: Give an example of a relation. Which is(i) Symmetric but neither reflexive nor transitive.(ii)…

A: i. Symmetric but neither reflexive nor transitive.

Q: List all the ordered pairs in the relation R= {(a, b) | gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

A: