Write each set using set-builder notation and inequalities. (a)     A = {1, 2, 3, 4, 5, 6,....}   (b)     B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}   (c)     C = {−3, −4, −5, −6, −7}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Write each set using set-builder notation and inequalities.

(a)    
A = {1, 2, 3, 4, 5, 6,....}
 
(b)    
B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
 
(c)    
C = {−3, −4, −5, −6, −7}
Expert Solution
Step 1

(a) Given set is A=1,2,3,4,5,6,....

The set-builder notation of set A is given by

A=x:xN

 

(b) Given set is B=2,4,6,8,10,12,14,16,18,20

The set-builder notation of set B is given by

B=x:x=2n,nN and 1n10

 

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