1. A) List the elements of each of the following sets. i) A = {x|x is a perfect square and 0 < x < 30} ii) B = {x|x is an integer and -1 < x≤ 5} B) Give the characterizing property of the following sets. i) C = {7, 9, 11, 13, 17, 19} ii) D = {7, 11, 13, 17, 19, 23, ...} C) Give the following using the sets given in A) and B) above i) B n (AUC) ii) |C - AI

Q: Are the sets equal? A={17,18,18,19,19,19,20,20,20,20} B={20,19,18,17} Yes No

A: Given SetsA={17,18,18,19,19,19,20,20,20,20} andB={20,19,18,17}

Q: Suppose the universal set is the set of natural numbers N. Consider the sets A = {1,2, 3, 4, 5, 6}…

A: We will answer the first three questions as per our guideline. Please resubmit the other questions…

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Q: Let J = {1, 2, 3, ... }, the set of counting numbers and let R be the set of real numbers. Is R − J…

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Q: Determine whether each of these pairs of sets are equal.

A: For equal set , We need to look only at the distinct elements, not the repetitions nor the order.

Q: Provide 2 examples of sets with |A| = 4, |B| = 3, |AUB| = 6

A: Number of elements in set A is 4, in set B is 3 and in set A U B is 6.

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Q: Please answer a, c & h

A: The given sets are as follows. U=N=1,1,3,4,…A=x∈N| x≥7=7,8,9,…B=x∈N|x is odd=1,3,5,7,9,…C=x∈N|x is a…

Q: 4. Is the set Q² x {a,b,c} countable or uncountable? You must justify your answer with a proof.

A: Given : ℚ2×a , b ,c  To Prove : ℚ2×a , b ,c  countable or uncountable

Q: Show that each pair of sets is equivalent by using a one to one correspondence. {1,2,3,4,. . . .} is…

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Q: 5) Find the union of four sets AUBUCUD, given A= {-3, -2, -1, 0}, B= {-2, -1, 0, 1}, C= {2, 3, 4)…

A: To find union of given four sets.

Q: 7. (12 points) Use a proof by contradiction to prove: For all sets A, B, and C (A\C)n(B\C)n(A\B) = 0

A: Step 1: proof  let (A/C)∩(B/C)∩(A/B)=Φ this means ∃x∈(A/C)∩(B/C)∩(A/B) Step 2:⇒x∈A/C,x∈B/C,x∈A/B…

Q: 7. Determine whether each of these pairs of sets are equal. a) {1, 3, 3, 3, 5, 5, 5, 5, 5)}, {5, 3,…

A: 7. (a) Let the given sets are A= { 1,3,3,3,5,5,5,5,5 } and B= { 5,3,1 } = { 1,3,5 } We know that a…

Q: 8. The universal set T and its subsets A, B, and C are defined as: T = (1,3,5,7,9,11} A = (3,7} B =…

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Q: Let A, B and C be sets such that Al = 17 |B= 10 C= 11 and the intersection of any two of these sets…

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Q: the sets A {1,2,3,4,5), B = {3,4,5,7) and C= {2,4,6,8). Then the set (An C) B is a) {3,5} b) {3,5,7}…

A: A= 1,2,3,4,5 B = 3,4,5,7 C = 2,4,6,8

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A: We have to find no of distinct four letter can be formed using all letter of word SETS.

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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: 2. Rewrite the following sets using list lotation. (Like A = {1,3,5}.) (a) A {r| x is odd and 0<r<…

A: We have to rewrite the given sets using list notations.

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A: Consider the given information. (a) Consider the given equation. 7x≡109 Now, apply the Euclidean…

Q: 5. Let A = [2,3] and B=[2,5], also let R be the universal set, Find the following sets and show them…

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Q: 3. (GYHD 5) Write each of these statements using "V": a) S is closed under addition. (Here, S is a…

A: (a). Given that S is closed under addition. (Here, S is a subset of ℤ.)

Q: OJennifer Findley Write an approximate measure for each angle shown.

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Q: 4. Find all subsets of S = {0, 1, {0,1}} which are not also elements of S. (Another way of writing…

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Q: 3) Find the intersection of three sets AnBnC, given A= {43, 44, 45, 46), B= {40, 42, 44, 46, 48) and…

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Q: 6. Assume that A, B, C, and D be sets. Prove or disprove each of the following stateme (a) An (B-C)…

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