Problem 1. Answer True or False. Justify your answers. a) {2,3} {1, {2},3, {1,3}} b) c). Notation: {0, {0}} = {0, {0, {0}}, {0, {0, {0}}}} {3k +1 | ke Z} = {3s-2 | s E N} Jay N denotes the set of natural numbers, i.e., {0, 1, 2, 3, 4, 5, 6, …} Z denotes the set of positive integer numbers, i.e., {1, 2, 3, 4, 5, 6, 7,...}

Q: A = {{7, 4, 1}, 0, 0, {6}} |A| = Ex: 5

A: The given set A=7, 4, 1, ϕ, 0, 6. We have to find the value of A.

Q: 2х-3 > 1 х+1

A: Given,          2x-3x+1≥1

Q: Q14D. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C =…

A: Given:A=-3,1,6,7,10B=-10,-5,1,4,6C=x∈Z : x is oddD=x∈Z : x is positive To find: A∩D Also, express…

Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: Use the given information to find n(A x B) and n(B x A). n(A) = 33 and n(B) = 4 Find the number of…

A: If we have two sets A, B such that  the cardinality of A =m and, the cardinality of B =n then, the…

Q: Q14D. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

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Q: (d) D= {n €Z:n −3} (e) E = {}\{}

A: Here we have to find the set D and E in list form.

Q: 13. Find the Cartesian product A x B of the sets A = {12, 9, 10} and B = {14,4}

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Q: Let a, b, c be three consecutive odd nubmers, with a < b < c. What is the  value of a2−2b2+c2?

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Q: Find the complement of the set given that                                                     U = {x…

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Q: Use the given information to find n(A× B) and n(B × A). n(A) = 67 and n(B) = 4 Find the number of…

A: Note:- Cartesian product of two sets is obtained by pairing each element of first set with each…

Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

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Q: 3. True or False 1. Write in words the ff. set notations a. 3 € {1,2,3} b. 1C{1} c. {2} € {1,2} d.…

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Q: (An B) n(AUC) U 4 2 5 7 6 B 3 8

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Q: If P = {1, 2}, form the set P × P × P.

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Q: choose 1 for each question: a) (1, 2, 3 , 4 , 5) b) (increase, decrease, or stay same) c) (up or…

A: The differential equation is y'=dydx=-(y+3)(y-1) has two points when y'=0, or, y=constant. If…

Q: Let set A={-6, -12/4, -5/8, 3,0, z}. List all the elements of A that belongs each set. Natural…

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Q: а) За — 5 <7х + 7 -6 –5 –4–3 -2 – 1 1 2 4 5 3

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Q: If any subset of size five is chosen from {1, -1, 2, -2, 4, -4, 8, -8), then prove that each of the…

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Q: Suppose that S and T are points on the number line , ST = 17 and S lies at 4, where could be located…

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Q: 3 1 Let a = 0 |, b -1, and c = |-2|. Justify your answers using proper mathematical notation. 2 5 a)…

A: Given, a=30-1, b=1-12, c=-1-25. a) To check if v=51-4 belong to the span.  This is same as checking…

Q: Find two numbers that meet the conditions of both of the following T-tables. The two numbers have to…

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

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Q: 10:32 Let A 3 4 5 6 93 R=12 3 7 8 9 10 X

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Q: Suppose A={1,2} and B={2,3}. P-power set Find: A intersect B…

A: Power set is the collections of all subsets

Q: B AUBNC: Au BNC: 12 6 6 17 13 U How many elements are contained in each of the following sets?

A: From the above venn-diagram, we have  U={6,10,11,12,13,17}. A={6,10,12,17}. B={6,12,17}.…

Q: given: set A = {a,b,c,d} into set B = {1,2,3,4}. which set of ordered pairs represent a bijection?

A: Consider the set S={(a,1), (b,2), (c,3), (d,4)} Here each element of A has exactly one image in B…

Q: Write out the following set by listing its elements between set brackets.( {r, s}^2 × {a} ) × {c, d}

A: The given equation to be solved is:

Q: Find the complement of the set given that U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: The given universal set .To find the complement of the set .

Q: Find the sets A and B if A − B = {1, 4, 7, 11}, B − A ={2, 20}, and A ∩ B = {3, 5 ,19}

A: Set Question

Q: A: B: C: A U : 18 AnBnC: B An (CUB): 11 10 14 20 How many elements are contained in each of the…

A: Given sets is

Q: Let result space Q, = {3,5,6,7} and results A = {3,6}, B = {3,6,7}, C = {6,7} given Calculate:…

A: Set: In mathematics, a set is a collection of distinct elements. It is usually denoted by A, B, C…

Q: 8. Consider the set B = {1,2, {3,4}}. (a) Is {3, 4} a subset of B? Why or why not? (b) List all of…

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Q: 2. Express the set using the roster method. (x | XEN and xs 5) Choose the correct answer below. O A.…

A: In given question, we can define the set using roaster method.

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Let A = (c, a, t J, B = {f, 0, x). Find A x B and B X A. AxB= (Type an ordered pair. Use a comma to…

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