1. Let U = {a, b, c, d, ..., x, y, z} be the universal set. Consider the subsetsA = {a, b, c, d, ..., p, q, r}= {a, e, i, o, u}B =C = {u, n, i, v, e, r, s, a, l}Find the following sets.(d) BUC(e) C(f) Anc(g) A -C(h) AUB(i) AUBUC(j) AnBnc(k) (AUC) n B(1) (A − B) n (A − C)(m)B-C(n) An (BUC)

A=a,b,c,d,...,p,q,rB=a,e,i,o,uC=u,n,i,v,e,r,s,a,l Note: The question has many subpart so solving the…

Answered: 1. Let U = {a, b, c, d, ..., x, y, z}…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let U={j,k,l,m,n,o,p}U={j,k,l,m,n,o,p}be the universal set. Let V={m,o,p}V={m,o,p}, W={l,o,k}W={l,o,k}, and X={j,k}X={j,k}. Determine the following: a) (V∩X)∪(W∩X)(V∩X)∪(W∩X) b) (V∪X)∩(W∪X)(V∪X)∩(W∪X) c) Is V⊂UV⊂U? d) Is X⊆WX⊆W? e) Determine one subset of XX. f) Determine one proper subset of XX.
Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17} Let sets A, B, and C be subsets of U, where: A = {5, 8, 11, 16} B = {3, 5, 10, 17} C = {1, 2, 7, 9, 17} Find the following: LIST the elements in the set B' UØ: B'U0 = { Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set Bn C: BnC={ 3, 5, 10 Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set C'UA: C'UA={DNE } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set (CnA) n B': (CnA) n B' = { Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
1. Let U = {a, b, c, d, ..., x, y, z} be the universal set. Consider the subsets A = {a, b, c, d, ..., p, q, r} B = = {a, e, i, o, u} C = {u, n, i, v, e, r, s, a, l} Find the following sets. (K) (AGGJITD (1) (A - B) n (A - C) (m)B-C (n) An (BUC)
Let U= {1,2,3,4,5,6,7,8,9} A= {2,4,6,8} B= {1,2,3,4} and C= {5,7,9} Give a set, D, that is equivalent to C, but not equal to C. I am confused on the difference and how to proceed with this.
5) Let U = {0,1,2,3,4,5,6,7,8,9,10}; A = {0,1,2,3,5,8}; B = down the elements in the following sets. (a) AUB (b) BUC (c) BC (d) (A' n C) UB (e) n((A UC) n B) = {0,2,4,6}; C = {1,3,5,7}. Write
2. Let U = {a, b, c, d, e, f, g, h} be the universal set, and let A = {b, c, d, ƒ, g}, B = {a, b, c}. (а) Find AU В, AП В, А- В, В - А, А өВ. | (b) Find A, B, AUB, ĀNB 6. (c) Find An B, AUB and use your answers from part (b) to show that An B=AuB and AUB = An B
Let S be the universal set, where: S = {1,2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, where: Set A = {2, 4, 5, 6, 7, 9, 11, 12, 13, 15, 17, 18} Set B = {2, 4, 6, 8, 11, 13, 19, 20} Find the following: The number of elements in the set (A n B®): п(An B)- The number of elements in the set (Bn A°): η (B n Α) is |
II. Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11},A = {2, 4, 6, 8, 10}, B = {8, 9, 10, 11}, C = {3, 6, 9}.1 Describe the universal set U using the roster method.2 Find n(Bc ∩ C).3 Find (B \ C) ∩ Ac.4 Find (A ∩ C)c ∩ B.5 Find (A ∪ C) ∩ B.6 Find (A ∩ C) × B.7 Illustrate the relationship among sets U, A, B and C by a Venndiagram.
.et S be the universal set, where: 5 = {1, 2, 3, ., 23, 24, 25} .et sets A and B be subsets of S, where: set 4 = {3, 4, 5, 7, 8, 12, 13, 15, 20, 23, 25} 6. Set B {1, 2, 3, 8, 9, 10, 13, 14, 16, 17, 20, 21 IST the elements in the set (A U B)° (AU B)^] = { } %D Enter the elements as a list, separated by :ommas. If the result is the empty set, enter ONE

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1. Let U = {a, b, c, d, ..., x, y, z} be the universal set. Consider the subsets A = {a, b, c, d, ..., p, q, r} B = {a, e, i, o, u} C = {u, n, i, v, e, r, s, a, l} Find the following sets. (d) BUC (e) C (f) Anc