Just Need 6 please. Im not sure what an accumulation point is. A\' is supposed t
ID: 1720794 • Letter: J
Question
Just Need 6 please.
Im not sure what an accumulation point is. A' is supposed to denote the "derived set". Could you please include as much explanation as possible? Thank you!
In Exercises 1 to 6, find the set of all accumulation points as indicated. 1. A = {p] p is a prime number). Find A'. 2 A (x x is irrational). Find A' 3. 4 = (1, 1.01, 1.01001, 1.010010001, }, Find A'. 4 4 = (x | |x + 2| > 5). Find A'. 5 4 = (n ± ( 1/k) | n, k integers, k0). Find A'. 5I. Fin . Fin A A By. (See Sec. 1.2, Exercise 4).Explanation / Answer
| x - 1 | < 3
=> -3 < ( x - 1 ) < 3
=> A => -2 < x < 4
Similarly ,
| x + 1 | < 1
=> -1 < ( x + 1 ) < 1
=> B => -2 < x < 0
=> A U B => -2 < x < 4
=> ( A U B )' => ( - , -2 ] U [ 4 , )
=> A B => -2 < x < 0
=> ( A B )' => ( - , -2 ] U [ 0 , )
A B => ( A U B ) - ( A B )
A B => ( -2 < x < 4 ) - ( -2 < x < 0 )
A B => ( 0 x < 4 )
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