Question 1 (a) Let S = {3, {5}, {7, 1}}. Are the following statements true or false? (2 points) (i) {3,7} & S (ii) {7} € S (iii) {7, {1}} S (b) Find the cardinalities of the following sets: (2 points) A = = {{π, {3}}} (c) Write down the proper subsets of each of the following sets: (2 points) A = {{T}, In 3} (iv) {3, {5}} S B = {0} UØ B = {1,0}
Question 1 (a) Let S = {3, {5}, {7, 1}}. Are the following statements true or false? (2 points) (i) {3,7} & S (ii) {7} € S (iii) {7, {1}} S (b) Find the cardinalities of the following sets: (2 points) A = = {{π, {3}}} (c) Write down the proper subsets of each of the following sets: (2 points) A = {{T}, In 3} (iv) {3, {5}} S B = {0} UØ 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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Transcribed Image Text:Question 1
(a) Let S = {3, {5}, {7, 1}}. Are the following statements true or false? (2 points)
(i) {3,7} S
(ii) {7} € S
E
(iii) {7, {1}} <S
(b) Find the cardinalities of the following sets: (2 points)
A = {{T, {3}}}
(c) Write down the proper subsets of each of the following sets: (2 points)
A = {{T}, In 3}
(iv) {3, {5}} S
B = {0} U0
B = {1,0}
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