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Question 1: Consider the universal set U {2,5,7), C= {1, 3, 5, 7, 9}. Find: (a) (An B) and (ANC) (d) ΑΔΒ and ΑΔΕ {1,2,3,,8,9} and sets A = {1,2,5, 6}, B = (c) A and Ce (b) (AUB) and (BUC) (e) (AUC)\B and (BAC)\A

Question 1: Consider the universal set U {2,5,7), C= {1, 3, 5, 7, 9}. Find: (a) (An B) and (ANC) (d) ΑΔΒ and ΑΔΕ {1,2,3,,8,9} and sets A = {1,2,5, 6}, B = (c) A and Ce (b) (AUB) and (BUC) (e) (AUC)\B and (BAC)\A

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
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Question 1: Consider the universal set U {2,5,7), C= {1, 3, 5, 7, 9}. Find: (a) (An B) and (ANC) (d) AAB and AAC {1,2,3,,8,9} and sets A = (c) A and Ce (b) (AUB) and (BUC) (e) (AUC)\B and (BAC)\A {1,2,5, 6}, B = Question 2: In a survey of 160 peoples, it was found that: 105 read Newsweek magazine, 60 read both Newsweek and Time, 85 read Time, 65 read both Newsweek and Fortune, 72 read Fortune, 45 read both Time and Fortune, and 48 read all three magazines. Find: (a) Find the number of peoples who read exactly one magazine. (b) Find the number of peoples who read at least one of the three magazines. Question 3: A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of three popular options, air-conditioning (A), radio (R), and power windows (W), were already installed. The survey found: 15 had air-conditioning (A), 5 had A and 1 W, 12 had radio (R), 9 had A and 1 R, 11 had power windows (W), 4 had R and 1 W, and finally 3 had all three options. (a) Represent the situation using Venn diagram. (b) Find the number of cars that had: (i.) only W; (ii.) only A ; (iii.) only R; (iv.) R and W but not A; (v.)none of the options.
Transcribed Image Text:Question 1: Consider the universal set U {2,5,7), C= {1, 3, 5, 7, 9}. Find: (a) (An B) and (ANC) (d) AAB and AAC {1,2,3,,8,9} and sets A = (c) A and Ce (b) (AUB) and (BUC) (e) (AUC)\B and (BAC)\A {1,2,5, 6}, B = Question 2: In a survey of 160 peoples, it was found that: 105 read Newsweek magazine, 60 read both Newsweek and Time, 85 read Time, 65 read both Newsweek and Fortune, 72 read Fortune, 45 read both Time and Fortune, and 48 read all three magazines. Find: (a) Find the number of peoples who read exactly one magazine. (b) Find the number of peoples who read at least one of the three magazines. Question 3: A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of three popular options, air-conditioning (A), radio (R), and power windows (W), were already installed. The survey found: 15 had air-conditioning (A), 5 had A and 1 W, 12 had radio (R), 9 had A and 1 R, 11 had power windows (W), 4 had R and 1 W, and finally 3 had all three options. (a) Represent the situation using Venn diagram. (b) Find the number of cars that had: (i.) only W; (ii.) only A ; (iii.) only R; (iv.) R and W but not A; (v.)none of the options.
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