2. Let A, B and C be three sets such that: Set A = {2, 4, 6, 8, 10, 12), set B = {3, 6, 9, 12, 15} and set C = {1, 4, 7, 10, 13, 16). Find: (1) AUB (ii) An B (iii) BNA (iv) BUC (v) Is A U B = BUA? (vi) Is B n C = BUC?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 29E
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2. Let A, B and C be three sets such that:
Set A = {2, 4, 6, 8, 10, 12), set B = {3, 6, 9, 12, 15} and set C = {1, 4, 7, 10, 13, 16).
Find:
(i) AUB
(ii) An B
(iii) BOA
(ii) AU C
(iv) BUC
3. If A = {2, 3, 4, 5), B ={c, d, e, f} and C = {4, 5, 6, 7};
Find:
(1) AUB
(iii) (A U B) n (AUC)
(iv) AU (BNC)
(v) Is A U B = BU A?
(vi) Is B n C = BUC?
(v) Is (A U B) n (AUC) =
AU (BNC)?
Transcribed Image Text:2. Let A, B and C be three sets such that: Set A = {2, 4, 6, 8, 10, 12), set B = {3, 6, 9, 12, 15} and set C = {1, 4, 7, 10, 13, 16). Find: (i) AUB (ii) An B (iii) BOA (ii) AU C (iv) BUC 3. If A = {2, 3, 4, 5), B ={c, d, e, f} and C = {4, 5, 6, 7}; Find: (1) AUB (iii) (A U B) n (AUC) (iv) AU (BNC) (v) Is A U B = BU A? (vi) Is B n C = BUC? (v) Is (A U B) n (AUC) = AU (BNC)?
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