Let S = {2,3,4,8,12,16,24,60}, S by dividing | is a poset. a. Draw a Hasse diagram of (S,|) b. Determine, if any, all elements are maximal, minimal elements, largest elements, and smallest element of (S,I) c. Let A = {4,8,12,24} Find, if any, all the upper and lower bounds of A. in poset (S,|), Does A have the largest upper limit or the smallest upper limit?

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Q: Use sets  U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},   A = {2, 4, 5, 7},  and  B = {1, 3, 4, 5, 6, 9, 10}…

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Q: I Let A = {1,3,5,7}, B = {1,2,3}, C = (6,7} and suppose the Universal set is U = {1,2,3, ..,7}. List…

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Q: 6. Show that the span of this set is all of R?. {}}

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Q: a. Let X = {a, b, c}, Y = {a, c, b}, and Z = {a, b, b, c, c, c}. What are the elements of X, Y, and…

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Q: A. Compute the total number of sets (of size 5) containing exactly 2 elements from X and 3 elements…

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Q: Find the number of elements of the set {n/n € Z,1 <n < 1000, 2 {n and 3 {n and 5 fn and 7 {n}.

A: By using set theoretic rules you can solve the given problem as follows :

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

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Q: Let  U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},   A = {7, 9, 11, 13, 15},   B = {8, 10, 12, 14,…

A: Given the universal set is U=7, 8, 9, 10, 11, 12, 13, 14, 15, 16. The sets A, B and C are as…

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

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Q: 30-35. Given L = {0, –2,2, –1,2,3, –4,1, –3} A = {-100, ... 99, 100, .. 201} B = {3,2,1,6,5,4] Write…

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Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

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

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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,…

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Q: C. A- (24.6, 8), B (2,3,7,9) and C (x3 I <9) are subsets of the universal set U(2,3.4.5, 6,7,8, 9).…

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Q: Is {1} proper subset of A  A={x,{y},1,2,3,{2,3},{3}}

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A: Given, the poset x is a divisor of on the set                           {1, 2, 3, 5, 6, 10, 15, 30}…

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Q: 3. Given set A-{1,2,3,4,5) and let R and S be a binary relation on set A. R= {(a,b) e AxA | bla} and…

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Q: find the subset of (E, B,T,*)

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Q: a. Suppose that the set A is such that b. P(A) = {0, {3}, {5}, {6}, {3,5}, {3,6}, {5, 6}, {3, 5,…

A: Given set is removed from the set  then the following set is obtainedNow write the set , which is…