2. Let U = {0,1,2,3,4,5,6,7,8,9,10); a) How many subsets will A have? b) Lis only the elements of the power set of C with 3 element c) List the elements of each of the following and termine the corresponding cardinality. ( i. ANB= ii. iii. iv. A = {0,1,2,3,5,8); B={0,2,4,6); C = {1,3,5,7). i. ii. B'U (CnU)= iii. iv. Øn A' = d) Represent the given sets by means of a Venn Diagram V. e) Determine if the given statement is true or false {2,3} E A Ø ≤P (C) 0 U {1,3,5,7}= P(A) {0} is an empty set U (AUB)' = (CA) n (BA)'=
2. Let U = {0,1,2,3,4,5,6,7,8,9,10); a) How many subsets will A have? b) Lis only the elements of the power set of C with 3 element c) List the elements of each of the following and termine the corresponding cardinality. ( i. ANB= ii. iii. iv. A = {0,1,2,3,5,8); B={0,2,4,6); C = {1,3,5,7). i. ii. B'U (CnU)= iii. iv. Øn A' = d) Represent the given sets by means of a Venn Diagram V. e) Determine if the given statement is true or false {2,3} E A Ø ≤P (C) 0 U {1,3,5,7}= P(A) {0} is an empty set U (AUB)' = (CA) n (BA)'=
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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Question
ANSWER D TO E ONLY
Transcribed Image Text:2. Let U =
a)
{0,1,2,3,4,5,6,7,8,9,10};
How many subsets will A have?
b) Lis only the elements of the power set of C with 3 elements. It
c) List the elements of each of the following and termine the corresponding cardinality. (
i.
ANBO=
ii.
iii.
iv.
A = {0,1,2,3,5,8); B={0,2,4,6}; C = {1,3,5,7).
B'U (CNU) =
Øn A' =
U (AUB)' =
(CA) n (B- A)'=
d) Represent the given sets by means of a Venn Diagram
e) Determine if the given statement is true or falses
i.
{2,3} E A
ii.
Ø SP (C)
iii.
0 € U
iv.
V.
{1,3,5,7} P(A)
{0} is an empty set
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