6. Let B, = {1,2}, B2 = {2,3},...,B30 = {10,11}; that is, B; = {i, i + 1} for i = 1,2,...,10.Determine each of the following:a. U, B;b. U- B;c. Ni, B;d. B; n B;417. Find an indexed collection {A„}ne N of two distinct sets (that is, no two sets are equalsatisfying the given conditions:N1 A, = {0} and U=, An = [0,1].8. Which of the following sets are partitions of A = {1,2,3,4,5}?a. S, = {{1,3},{2,5}}b. S, = {1,2}, {3,4,5},{2,1}}ç. S3 = {{1,2},{2,3}, {3,4}, {4,5}d. S, = A9. Give an example of a partition of Z into four subsets.10. For A = {1,2} and B = {Ø}, determine A x B and P(A) × P(B). Seatwork:1. Let A, = {1,3,5}; A2 = {2,3,4,6,7}; A3 = {1,2,3,4,5}; A4 = {2}; Ag = {2,3}.%3Da. IfI = {1,2,3,4,5}, find: Niej A;; Ujej A.b. If I = {2,3,5}, find: Niej A¡ Uiej A.2. For set D, = {n, 2n,3n, ...}. Finda. U {D„ In E N}b. N {D„\n E N}3. For any i E Z, let B; = {i,i+ 1}, the closed interval from i to i + 1. findа. В, U B.b. B3 n B4c. U2, B;d. Ujez B:4. Let A = {1,2,5}, B = {0,2,4}, C = {2,3,4},and S = {A,B,C}. Determine Uxes X andNxes X.5. Let A = {a, b, .z} be the set consisting of the letters of the alphabet. For a E A, let A.consist of a and two letters that follow it, where A, = {y, z, a} and A, = {z, a. b}. Find a setSS A of smallest cardinality such that U«ES Ag = A. Explain why your S has the requiredproperties.

Name: 6. Let B, = {1,2}, B2 = {2,3},...,B30 = {10,11}; that is, B; = {i, i
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Description: 6. Let B, = {1,2}, B2 = {2,3},...,B30 = {10,11}; that is, B; = {i, i + 1} for i = 1,2,...,10.Determine each of the following:a. U, B;b. U- B;c. Ni, B;d. B; n B;417. Find an indexed collection {A„}ne N of two distinct sets (that is, no two sets are e

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Answered: Seatwork: 1. Let A, = {1,3,5}; A2 =…

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Seatwork: 1. Let A, = {1,3,5}; A2 = {2,3,4,6,7}; Az = {1,2,3,4,5}; A̟ = {2}; Aş = {2,3}. %3D a. IfI = {1,2,3,4,5}, find: N;ej A;; Ujej Aq. b. If I = {2,3,5}, find: N;ej A;; Uiej