State whether the following statement is TRUE or FALSE. Given Set A = {2,4,7,8), B = {1,2,4,5,7,8). Hence A is a proper subset of B. Øis a subset of Ø. i) ii) iii) iv) {3,4} is an element of {{1, 2}, {3, 4), 6, 7, 9). {0} is a subset of {0, 3, 6, 9, 12).

Q: Let U = {a,b,c,d,e,f,17,18,19,20,21,22), X= {a,b,c,17,18,19), and Y = {b,d,f, 18,20,22). List the…

A: The given sets are U=a,b,c,d,e,f,17,18,19,20,21,22,X=a,b,c,17,18,19 and Y=b,d,f,18,20,22.

Q: . Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set and A = {0, 3, 4, 5}, B = {1, 3,…

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Q: Let X = {s, t, u, 15, 16, 17), Y={t, v, w, 15, 17, 19), and Z= {t, v, 16, 17, 19). List the members…

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Q: Let U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16), A = {2,4,7,8,9,10,11,12,13,16), B =…

A: NOTE: Refresh your page if you can't see any equations. . given sets are

Q: Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S,…

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Q: Let S={a, b, c, d, e, f, g, h, i, j} be the universal set, A={c, e, f, h}, and B={a, b, c}. Find the…

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Q: If the universal set contains {1,2,3,...,15), X = {1,3,7,9,11,13), Y = {5,6,7,8,9), and Z = {8, 10,…

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Q: 6. Let A = {1, 2, 3, 4} R = {(1,2), (1,3), (2,3), (2,4), (3,1)} S= {(2,1), (2,4), (3,2), (3,3),…

A: Given  A=1,2,3,4R=1,2,1,3,2,32,4,3,1S=2,1,2,4,3,2,3,3,4,3

Q: 6. Let A, B, and C be sets. Verify the following (you can use a membership table) a) An (BUC) =…

A: ∩ : and  ∪ : or  We have to prove :

Q: Let U = {a,b,c,d,e,f, 12, 13, 14, 15, 16, 17), X = {a,b,c,13,14,15), and Y = {b,d,f, 12,14,16}. List…

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Q: Find the number of elements in the set (A∪B∪C)(A∪B∪C) n(A∪B∪C)n(A∪B∪C) =  Find the number of…

A: The given sets are as follows. A=1, 2, 4, 8, 12, 17, 19B=1, 3, 8, 10, 11, 13, 16, 19, 20C=1, 3, 5,…

Q: Let the universe of elements include these letters: p, q, r, s, t, u, v, w, x, y. The first set A…

A: The universe set contains the elements: p, q, r, s, t, u, v, w, x, y The set A contains the…

Q: X= {a,b,c,10,11,12}, and Y={b,d,f,9,11,13). Let U = {a,b,c,d,e,f,9,10,11,12,13,14), List the members…

A: According to the given information, we have…

Q: Let A = {1, 2, 3, 4} and B = {3, 4, 5, 6}.  a) A union B b) A intersection B c) The complement of…

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Q: But change the problem to say A={1,5,7,11}, B={3,5,7}, C={3,7,9,11}

A: The union of two sets contains all the elements contained in either set (or both sets).The union is…

Q: Prove T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set

A: We have to prove the following -   T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set.

Q: Let S be the universal set, where: S = {1, 2, 3, Let sets A and B be subsets of S, where: 18, 19,…

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Q: et A, B, and X be sets. Prove that if ACB, then AnxCBnx.

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Q: Let A and B be subsets of U. Find all the elements of B if U = {0,1,2,3,4,5,6,7,8,9} A = {2,4,5,6,9}…

A: Given Data: A={2, 4, 5, 6, 9} A∩B={5, 6} AUB={1, 2, 3, 4, 5, 6, 7, 8, 9} U={0. 1, 2, 3, 4, 5, 6, 7,…

Q: For A= {2,x,y} B= {w,x} C={1,2,3} U={1,2,3,4,w,x,y,z} Use proper set notation a) C- A AUB c) d) e)…

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Q: 2. Let U = {1,2,3,4,5,...,12},A = {1,3,5,7,9,11},B = {2,3,6,12},C = {2,3,6,12}, D={2,4,8}. Determine…

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Q: Let X = {v, w, x, 9, 10, 11), Y = {w, y, z, 9, 11, 13), and Z= {w, y, 10, 11, 13). List the members…

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Q: Let S be the universal set, where: S = {1, 2, 3, 18, 19, 20} Let sets A and B be subsets of S,…

A: The universal set S is {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.

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: Let S = {1, 2, 3, … , 10}, A = {1, 3, 5}, B = {1,4,6} and C = {2, 5, 7}. Determine the elements of…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…