(b) Find the cardinalities of the following sets: A = {{, {3}}} (c) Write down the proper subsets of each of the following sets: A = {{T}, In 3} B = {0}U0 B = {1,0}

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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part B C

Question 1. Quick answer questions
(a) Let S = {3, {5}, {7, 1}}. Are the following statements true or false?
(i) {3,7} # S
(ii) {7} € S
(iii) {7, {1}} <S
(b) Find the cardinalities of the following sets:
A = {{T, {3}}}
(c) Write down the proper subsets of each of the following sets:
A = {{T}, In 3}
(iv) {3, {5}} S
B = {0}U0
B = {1,0}
Transcribed Image Text:Question 1. Quick answer questions (a) Let S = {3, {5}, {7, 1}}. Are the following statements true or false? (i) {3,7} # S (ii) {7} € S (iii) {7, {1}} <S (b) Find the cardinalities of the following sets: A = {{T, {3}}} (c) Write down the proper subsets of each of the following sets: A = {{T}, In 3} (iv) {3, {5}} S B = {0}U0 B = {1,0}
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