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: 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: List the first four elements of the set { x | x = 4k + 1, and k is a natural number}  (List each…

A: Given set { x | x = 4k + 1, and k is a natural number} = {4×1+1, 4×2+1, 4×3+1, 4×4+1, ... } = {5, 9,…

Q: 6. The sets A and B are defined as: A = {2, 5, 7} B = {*, +} (a) Express the set A x B in roster…

A:

Q: Given the following relation, { ( A, A ), ( A, B ), ( A, E ), ( B, B ), ( B, E ), ( C, A ), ( C, B…

A: Given the following relation, {(A, A), (A, B), (A, E), (B, B), (B, E), (C, A), (C, B), (C, C), (C,…

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: Q1. (a) Let R be the universal set and A = [-7,3], B = (0,8) C = {x:x≤ 10, x € R}. Find of the…

A:

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

A:

Q: list all the subsets of  {1,2,∅}   and {{R}} R= real number

A: Number of subsets of a set with n elements is 2^n

Q: (Q × {-n, n})U{-3n, –2n}UZ is O a countable set an empty set an uncountable set

A:

Q: Consider the set {x|x less than or equal to -3} (in set-builder notation)

A:

Q: Denote the set using the listing method {x| x is reciprocal of a positive odd number

A: The set of positive odd numbers are as follows: 1,3,5,7,9,11,13,15,17,19,21,23,……… Given a real…

Q: Let: A = {1,3, 5} B= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} f: A → B, where f(a) = 2a The domain of the…

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Q: Let N= {1, 2, 3, 4, .} be the set of natural numbers and S= (1, 4, 9, 16, ...} be the set of squares…

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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: [16] 1. Represent each pair of sets A and B on a number line, then find AUB and An B in interval…

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Q: (iii) ((A – B)UC – D) specified using set builder notation without any word -

A:

Q: Name the set identity that is used to justify each of the identities given (a) (BNC) UBNC=U (b) AU…

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Q: Given three sets A, B, and C. A = {x €Z|-2<x<1},B= {x€Z]x2-1=0}, C= {0, – 1,- 2, -3}. (a) List…

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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: 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 ,…

Q: Given the relations on the set of real numbers, R, = {(a,b) e R², a > b}, R2 = {(a, b) E R2, a > b},…

A: Given the relations on the set of real numbersR1=a,b∈ℝ2, a&gt;bR2=a,b∈ℝ2, a≥bR3=a,b∈ℝ2, a&lt;b

Q: 2. A- (x|x2-2) 8- (x|x< 6) (a) A nc (b) A nB

A: Sets

Q: Consider the following sets V = W = X = Y = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19} {p EN:p is a prime…

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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: Define the following sets: A=(1,3,7,9,10) 6-(2.5.7.8.9.10) C = (0,1.3.10) D=(2,4,6,8,10) E=xxis a…

A: Natural numbers do not include negative numbers.

Q: Consider the set A = {2, 4, 6, 8} with an operation defined by the table. 2 4 6 8 2 8…

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Q: Let R be the set of real numbers, C= (0, 10], D= (9, 15], E = {1, 2, 3} and F= (7, 10). Find: (i)…

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

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Q: Give an example that achieves the following two infinite sets A and B with A C B and A - B.

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Q: Find the union of each of the following pairs of sets :(i) X = {1, 3, 5} Y = {1, 2, 3}(ii) A = [ a,…

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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: (1) Let A = {1, 2, 3, 4}, B = {2, 4, 6}, C = {1, 3, 5} and U = {1, 2, 3, 4, 5, 6, 7}. Compute the…

A: By the authoring guidelines of Bartleby, we can answer only first three subparts, please post other…

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: Is it a set of all real numbers

A: In this question, we will find the complement.

Q: Specify the sets by roster:    (a) {odd counting numbers less than 11}     (b) {positive multiples…

A: we will find the roster form.

Q: Let IR be the set of real numbers, A = {r e IR: 5<x< 10}, B = {x e R: 73x<20}, C = (0, 10], D = (9,…

A:

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”.