11. Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g} and B = {d, e, f, g}.
Find: A ∪ B
12. Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g} and B = {d, e, f, g}.
Find: b. A ∩ B
13. Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g} and B = {d, e, f, g}.
Find: AC
14. List all of the subsets of set S = {0, 1, 2}
15. Give an example of an infinite set, using set roster notation.
16. Given that U = 1,2,3,4,5 and set A = {1,2}, and set B = {3}, find the complement of set B.
17. Given that set C = {all even integers greater than zero and less than 20}, find |C|.
18. Given a set A = {1,2,3} and set B = {1,1,1,2,2,3}. Find: |A| and |B|.
19. (True/False) Given a set A = {1,2,3} and set B = {1,1,1,2,2,3}: set A set B.
20. Given a set N = {1,2,3,4}. Find P(S).
11)A = {a,c,e,g} and B = {d, e, f, g}
A ∪ B={a,c,d,e,f,g}
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12)A = {a,c,e,g} and B = {d, e, f, g}.
A ∩ B ={e,g}
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14)s={0,1,2}
{ },{0},{1},{2},{0,1}{0,2}{1,2},{1,2,3}
11. Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g}...
A,C,G please 1. Let A, B, and C be subsets of some universal set u. Prove the following statements from Theorem 4.2.6 (a) AUA=/1 and AnA=A. (b) AUO- A and An. (c) AnB C A and ACAUB (d) AU(BUC)= (A U B) U C and An(B n C)-(A n B) n C. (e) AUB=BUA and A n B = B n A. (f) AU(BnC) (AU B) n(AUC) (g) (A U B) = A n B (h) AUA=1( and An-=0. hore...
D Question 7 Let A and B be subsets of a universal set U with n (U)-32, n (A) = 11, n (B) = 17, and n (AUB) = 25. Compute n(A' nB) D Question 8 Let A and B be subsets of a universal set U with n (U)-32, n (A)-11, n (B)-17, and n (A U B)=25 Compute n (AUB).
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} be the universal set. Consider the two subsets A = {0, 2, 4, 6, 8} and B = {0,3,6,9}. Use the roster method to write each of the following sets (a) AUB. (b) An B. (c) AC. (d) (AUB) – AC
Let U ={a, b, c, d, e, f, g, h, i, j, k}. Let A={d, f, g, h, i, k}. Let B={a, d, f, g, h}. Let C={a, c, f. i, k} Determine (AUC) U ( AB). Choose the correct answer below and, if necessary, fill in the answer box in your choice. OA. (AUC) U(ANB)= } (Use a comma to separate answers as needed.) OB. (A'UC) U (ANB) is the empty set. LE This Question: 1 pt Let U={x|XEN...
Let A, B, C be subsets of a universal set U. Recall for D C U that XD denotes the characteristic function of D. Prove that XAUBUC = XA + XB+XC - XACB - XAC - XB C +XAOBOC. Hint: Facts that you may use: (1) XD 1-XD. (2) (AU BUC)° = ACB 1C. (3) XEnF = XEXF. (4) XEnFnG = XEXFXG. Don't prove these facts.
. Let A, B and C be subset of a universal set U. (a) Prove that: Ac x Bc ⊂ (A × B)c (the universal set for A × B is U × U). So A compliment x B compliment = AxB Compliment
6. Let A, B, and C be subsets of some universal set U. Prove or disprove each of the following: * (a) (A n B)-C = (A-C) n (B-C) (b) (AUB)-(A nB)=(A-B) U (B-A) 6. Let A, B, and C be subsets of some universal set U. Prove or disprove each of the following: * (a) (A n B)-C = (A-C) n (B-C) (b) (AUB)-(A nB)=(A-B) U (B-A)
5. Let A, B, C be subsets of a universal set U. Recall for D CU that XD denotes the characteristic function of D. Prove that XAUBUC = XA +XB+XC - XAMB - XAOC · XBNC + XANBNC. Hint: Facts that you may use: (1) Xpe = 1 – Xd. (2) (AU BUC)° = A n Bºn Cº. (3) XEnF = XEXF. (4) XEnFnG XEXFXG. Don't prove these facts.
8. Let A and B be subsets of some universal set U. From Proposition 5.10, we know that if A S B, then B S A. Now prove the following proposition: For all sets A and B that are subsets of some universal set U, A C B if and only if B S A.
Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {a, c, e, i}, B = {a, b, e, g), and C = {a, b, f, i} List the elements of the set An (BUC)