2. Among 500 graduating students, 210 of them smoke, 258 drink alcoholic beverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eat between meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52 engage in these bad health practices. How many a. smoke but do not drink alcoholic beverages? b. eat between meals and drink alcoholic beverages but do not smoke? c. neither smoke nor eats between meals? (Note: Include the notations.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Help me answer 2 and 3 only pls

1. Let the universal set U = {x| x e natural numbers, 0< x < 9}, A = {2, 4, 7, 9}, B = {1,
3, 5, 7, 9}, C = {2, 3, 4, 5}, D = {1, 6, 7}. List down the elements of the following:
a. A'u C
b. (Bn C') U A
c. (Un B')'
d. An Cn D'
2. Among 500 graduating students, 210 of them smoke, 258 drink alcoholic beverages,
216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eat between
meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52
engage in these bad health practices. How many
a. smoke but do not drink alcoholic beverages?
b. eat between meals and drink alcoholic beverages but do not smoke?
c. neither smoke nor eats between meals?
(Note: Include the notations.)
3. Let A = {w, x, y, z} and B = {a, b}. Use the roster notation to write each of the following
sets, and indicate the number of elements that are in each set:
а. Ах В
b. ВxА
С. АхА
d. Вx B
Transcribed Image Text:1. Let the universal set U = {x| x e natural numbers, 0< x < 9}, A = {2, 4, 7, 9}, B = {1, 3, 5, 7, 9}, C = {2, 3, 4, 5}, D = {1, 6, 7}. List down the elements of the following: a. A'u C b. (Bn C') U A c. (Un B')' d. An Cn D' 2. Among 500 graduating students, 210 of them smoke, 258 drink alcoholic beverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eat between meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52 engage in these bad health practices. How many a. smoke but do not drink alcoholic beverages? b. eat between meals and drink alcoholic beverages but do not smoke? c. neither smoke nor eats between meals? (Note: Include the notations.) 3. Let A = {w, x, y, z} and B = {a, b}. Use the roster notation to write each of the following sets, and indicate the number of elements that are in each set: а. Ах В b. ВxА С. АхА d. Вx B
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