(a) Write the following sets in list format. In the case of an infinite set, list at least 5 elements of the set to ensure that the pattern is clear. i. A = {x € N : (x/2) ‡ Z and (x < 20)} ii. B = {x N: (x/5) € Z and (x > 31)} iii. C = {x : y = N+ such that (x = 3y)}. (b) Write the set D = {0, ±4, ±8, ±12, ±16, ...} in defining property format.
(a) Write the following sets in list format. In the case of an infinite set, list at least 5 elements of the set to ensure that the pattern is clear. i. A = {x € N : (x/2) ‡ Z and (x < 20)} ii. B = {x N: (x/5) € Z and (x > 31)} iii. C = {x : y = N+ such that (x = 3y)}. (b) Write the set D = {0, ±4, ±8, ±12, ±16, ...} in defining property format.
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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hellp, could you provid me with the question inthe pic?
Transcribed Image Text:(a) Write the following sets in list format. In the case of an infinite set, list at
least 5 elements of the set to ensure that the pattern is clear.
i. A = {x € N : (x/2) ‡ Z and (x < 20)}
ii. B = {x N: (x/5) € Z and (x > 31)}
iii. C = {x : y = N+ such that (x = 3y)}.
(b) Write the set D = {0, ±4, ±8, ±12, ±16, ...} in defining property format.
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