Which of the following is the correct representation of A {2,4,8,16,32,... } in set builder notation? * A {x: x = 2", x E N} A = {x: {x: x = 2n, x E N} %D %3D %3D Option 2 O Option 1 A = {x: x = 2n + 4,x E N] A = {x:x = 4", x E N} %3D Option 4 Option 3

Q: Let A %3D {a, b, с}, В %3D {b, с, d}, and C %3D {ь, с, е}. (a) Find A U (B n C), (A U B) n C, and (A…

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Q: 5. For the set C = {4, 5, 6, ....} is it true or %3D false that 7 e C? True False

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (ii) for every singleton set A, m* (A) = 0.

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Q: 8. Draw the Venn Diagram of the following sets: a. (A-B) n (B-C) b. (ANB) U č c. (A n C) U (B C) d.…

A: a) Venn diagram of (A-B)∩B-C                                                              b)Venn…

Q: Here is some more practice on calculating the number of elements in a set. 10. Suppose A and B are…

A: Given ,           AC U          BC U          nA=73         nB=56        nU=150To find → nA' &…

Q: S1 1 1 (1'2'3'4'5 1 (c) K = {;; 6.

A: Given,     K={11,12,13,14,15,16}

Q: Determine whether the set S = {1, x², 3 + x²} spans P2. O S spans P2. O s does not span P2.

A: Consider the given set S. S=1,x2,3+x2 Now, make the matrix from the given set. 103000011

Q: Identify all possible proper subset relationships that occur among the following sets. A = {3n + 1|n…

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Q: ​Find, if​ possible, the number of elements in sets​ A, B, and C using the given information. If…

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Q: List the elements of the following set: S = {x|x ∈ ℤ, x is odd, 16 < x2 ≤ 160}

A: We are given the set, S = {x|x ∈ ℤ, x is odd, 16 < x2 ≤ 160}. Here, we need to list all the…

Q: Which of the following accurately shows the Associative Law on Sets? * (AUB) UC=AU (BNC) An (BUC) =…

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Q: Determine whether the set S = {1, x², 6 + x²} spans P2. S spans P2. O s does not span P2.

A: P2 is the vector set of all polynomials with real coefficients of degree 2 or less. So 1+x is an…

Q: 3. Write each of the following in set builder notation (a) A = { 5, 10, 15, 20, 25, 30} (b) B =…

A: Solution is given below:

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

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Q: 9. Let A = {w, x, y. z} and B = {a, b}. Use the set-roster notation to write each of the following…

A: The given sets are: A=w,x,y,z  B=a,b A×B={w,a, w,b, x,a, x,b, y,a, y,b, z,a, z,b} The number of…

Q: Use the following information to answer question 6. 16 19 The number of elements in the unversal set…

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Q: Show that if A, B, and C are sets, then A n Bn C = A U BUC a) by showing each side is a subset of…

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Q: Draw the Venn Diagram for each of these combinations of the sets A, B, and C. 1. A n (BUC) 2. (A-B)U…

A: Topic : venn diagram

Q: Let R = Zg, and let N = R³. Determine whether or not X = {(4, 5, 4), (4, 5, 2), (2, 2, 3)} is a free…

A: It is given that,  R = ℤ8  and  N = R3. We have to determine that whether the set,  X = 4, 5, 4, 4,…

Q: Use set builder notation to give a description of each of these sets 1 (Ben, Aiden, James, Derrick)…

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Q: Draw figures showing two sets A and B, so that B C A. DO NOT draw the set elements.

A: As we know the meaning of B ⊆ A is that B has few or all elements equal to the set A B ⊆ A subset…

Q: Let A = {7m +1 : m € Z} and B = {14n – 6 : n € Z} be subsets of a universal set U. Justify why A ¢ B…

A: Consider the given sets:

Q: Draw a ven diagram for this set (A ∩ B) ∪ (A ∩ C')

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Q: Draw Venn diagram for each the following: (i) A UB when A c B. (ii) A UB when A and B are disjoint…

A: 8 (i) To draw Venn diagram of A union B when A is proper subset of B, since A is proper set of B, it…

Q: Let S = {Aylesbury, Manchester United, Southend, Sheppey United, Liverpool, Golden Arrows, Witbank…

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Q: Suppose S is a set having n elements and T is a set having m elements. Which of the following claim…

A: Suppose S is set having n elements and T is a set having m elements. That is n>m More precisely,…

Q: 5. Write these sets in set-builder notation, where U = {1, 2, . . . , 20}. (a) {11, 12, 13, 14} %3D…

A: As per our guideline we are supposed to answer only three subpart of question you can repost other…

Q: 4 10 11 •12

A: To find the elements of the sets x,y and z from the given venn daigram.

Q: Express the following set in set-builder notation. B= {12, 13, 14, 15, 16, 17, 18, 19} Choose the…

A: The given set is                          B=12, 13, 14, 15, 16, 17, 18, 19 We have to express the…

Q: 3. Let M and N be nonempty set such that M = N, then |M| = |N|. %3D

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Q: If S and T are two sets such that S has 21 elements, T has 32 elements, and   S ∩ T has 11 elements,…

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Q: 1) Let f: A ->B with C1 C C2C A and Dic D,CB Which is true? a) f(C) c f(C2) OR b) f(C2) c f(C:) (i)…

A: Given: i) To prove that answer is correct. ii) To give a counterexample to show that the set…

Q: 12. Find two sets A and B such that A e B and A B.

A: 12.Find two sets A and B such that A∈B and A⊑B

Q: Use set-roster notation to indicate the elements in the following set: S= {n € Z | -3 < n< 1}

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Q: Use a three-ring, eight-region Venn diagram as a reference and determine whether (A′∪B)∩C′=A′∩(B∪C′)…

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Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of the elements in each of the…

A: We have to find Cartesian product of part (c) and part (d)

Q: Use the set - roster notation to indicate the elements in each of the following sets. V = {s ∈ Z| s…

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Q: 3. [8] Let A = {a, b, c} and B = {u, v}. Use the set-roster notation to write the elements in the…

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Q: 3. Let A, B, C, and D be sets. (a) Prove that (A × C) n (B × D) = (An B) × (Cn D).

A: Let A, B, C, and D be sets.To prove the equality, we have to show that, LHS is a subset of RHS and…

Q: C. Think of a set with m + n elements as composed of two parts, one with m elements and the other…

A: m+n elements as composed of two parts.

Q: Let A, B be any sets with BCA. Then |P(B×B)[s|P(A×B)| O IP(AxB)|s|P(B×B)| O IP(AxB)|=|P(B×B)| O None…

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Q: Suppose that A is the set of sophomores at your school and B is the set of students in discrete…

A: We use set theory here: A: The set of sophomores at your school B: Set of students in discrete…

Q: Question 2: Use set builder notations to prove that: a)X Y = (XUY) – (XnY), b)(Y – X) U (Z – X) = (Y…

A: Part(a) We have  by the definition of symmetric difference : X⊕Y=xx∈X-Y or x∈Y-X Now, we prove that…

Q: A={ z ∣ z ∈ N and 195 ≤ z ≤ 201} Use the roster method to list the elements in the set A. A=

A: Given: A={ z ∣ z ∈ N and 195 ≤ z ≤ 201} The roster form is given by

Q: 3. Consider three finite sets A, B and C. Show that: (a) (b) (c) (AB) x C = (A ×C) \ (B × C ); (AUB)…

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Q: 3A, B E {sets} such that A CBAA= B.

A: To check whether the given statement true or false: ∃A,B∈sets such that A⊆B∧A=B

Q: Determine whether the set S = {1, x², 9 + x²} spans P2. %3D O S spans P2. O s does not

A: Introduction: Vectors' span, It is the collection of all linear combinations of a number of vectors.…

Q: Let A=​{peach, kiwi, tomato, raisin​}, B=​{lemon, watermelon​}, and C {tomato, lemon, pear,…

A: Let A and B be two sets .         1.)  n( A∪B)=nA+n(B)-n(A∩B)         2.) n(A∪B)= n(A-B)+n(A∩B)+ n…

Q: b) Prove the second De Morgan law in by showing that if A and B are sets, then AUB=ANB i) by showing…

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Q: Which of the following is the correct representation of A = (2,4.8.16,32. in set puilder notation?"…

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