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1. A) List the elements of each of the following sets. i) A = {x|x is a perfect square and 0 < x < 30} ii) B = {x|x is an integer and -1 < x≤ 5} B) Give the characterizing property of the following sets. i) C = {7, 9, 11, 13, 17, 19} ii) D = {7, 11, 13, 17, 19, 23, ...} C) Give the following using the sets given in A) and B) above i) B n (AUC) ii) |C - AI

1. A) List the elements of each of the following sets. i) A = {x|x is a perfect square and 0 < x < 30} ii) B = {x|x is an integer and -1 < x≤ 5} B) Give the characterizing property of the following sets. i) C = {7, 9, 11, 13, 17, 19} ii) D = {7, 11, 13, 17, 19, 23, ...} C) Give the following using the sets given in A) and B) above i) B n (AUC) ii) |C - AI

Advanced Engineering Mathematics
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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1. A) List the elements of each of the following sets. i) A = {x|x is a perfect square and 0 < x < 30} ii) B = {x|x is an integer and -1 < x≤ 5} B) Give the characterizing property of the following sets. i) C = {7, 9, 11, 13, 17, 19} ii) D = {7, 11, 13, 17, 19, 23, ...} C) Give the following using the sets given in A) and B) above i) B n (AUC) ii) |C - A| D) i) Use the direct proof technique to prove 'x odd and y odd' ⇒ 'x + y' even ii) Use the proof by contradiction technique to prove 'x rational and y irrational' ⇒ 'x + y' irrational
Transcribed Image Text:1. A) List the elements of each of the following sets. i) A = {x|x is a perfect square and 0 < x < 30} ii) B = {x|x is an integer and -1 < x≤ 5} B) Give the characterizing property of the following sets. i) C = {7, 9, 11, 13, 17, 19} ii) D = {7, 11, 13, 17, 19, 23, ...} C) Give the following using the sets given in A) and B) above i) B n (AUC) ii) |C - A| D) i) Use the direct proof technique to prove 'x odd and y odd' ⇒ 'x + y' even ii) Use the proof by contradiction technique to prove 'x rational and y irrational' ⇒ 'x + y' irrational
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