Given the function f= {(n,n²)such thatn< 3,n€N} as a set of ordered pairs in set-builder notation, which set is equivalent to it in list form? O {(0,0), (1,1),(2,4),(3,9)} O {(2,4),(1,1),(3,9)} O {(-1,1),(0,0), (1,1),(2,4),(3,9)} O {(0,0), (1,1),(2,4) }

Q: Write true otherwise false if the pairs of sets are equal,{{1}},{1,{1}}

A: Two sets A and B are equal if A and B  have the same elements.

Q: On the set A = {a, b, c, d, e, f, g, h} is given by the relation R = {(a; b), (a; c), (a; d), (a;…

A: The set is A=a, b, c, d, e, f, g, h and the relation is R=a; b, a; c, a; d, a; e, b; f, c; f, d; g,…

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: Let A = {a,b, c, d, e, ƒ}, and let G and H be the following equivalence relations in A: G = IA U…

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Q: 1. A₁-[0,4], A2-[1,5), A3= [0.5,3], A4- (1,9] As 2. A₁-[0,4], A₂-[1,5), A3- [0.5,3], A- (1,9] As 3.…

A: Given- Ω=set of all real numbers  A= index set  To identify the generalized union and intersection…

Q: B. Represent the following relations as indicated. 1) F= {(1, b), (4, c), (5, c), (1, d)}; as a…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Consider the relations R = {(1,5), (2, 2), C S%3D { (2,4), (3, 4), С T3 {(1,4), (3, 5), С on the set…

A: The solution is given below.

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.

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…

A: Here given sets A = {4, 5, 6} and B = {6, 7, 8} and relation defined asxSy⇒x/y means x, y∈S⇒x…

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: Define E to be the empty set and further define F = {E}, G = {F}, H = {E, F}, and I = {E, F, G,H}.…

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Q: A := {0, 3, 5, 6, 8} S := { (0 , 0), (0 , 6), (3 , 3), (5 , 5), (6 , 6) }  Discrete Math

A: consider the equation

Q: For each part, write the set in the form [x | P(x)] (property that describes the elements of the…

A: Explained below

Q: 11. Let A = {1,2,3,4} and B = {A, B, C, D, E}. Consider the following relations and state whether…

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Q: Consider the relation “is multiple of “on the set A = {2,5,10,25,40,3,12,6} find the relation and…

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Q: Find a set of four integers such that their order and the order of their absolute values are the…

A: We have to find a set of four integers such that their order and the the order of their absolute…

Q: Which relations are partial order? O A={5,6,8,10,20} and R={ (a,b) E A x A; a divides b} O Let…

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Q: II. Let Q-set of all real numbers, A-index set. Identify the generalized union and intersection of…

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Q: How many symmetric relations on the set A = {1,2, 3, 4, 5, 6, 7, 8} contain the ordered pairs (2,…

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Q: Let A = {4, 5, 10, 21, 24). List the ordered pairs in the relation R = {(a, b) E AXA: alb). (Recall…

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Q: Use graph to find set. (- ∞, 5)∩ [1, 8)

A: To determine: The set -∞,5∩[1, 8) using graph.

Q: Find the number of subsets of the given set. (x|xEN and 7<x<12}

A:

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: Suppose A and B are two finite sets such that |B| = 2 |A| and the number of relations on A is 16.…

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Q: Let R be the relation, {(a, b) Nx N: a + b² is divisible by 3} Give an example that shows that R is…

A: Symmetric Relation: A relation R is said to be symmetric if

Q: Let ai = [250] -10 and a2 = h [4] The set {a1, a2} will span R² unless h = (If there are no values…

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Q: Use graph to find set. [2, ∞)∩ (4, ∞)

A: Use the graph to find [2,∞)∩(4,∞)

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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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.