Question 1091471
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Let N = set of natural numbers;
 Z = set of integers;
 Q = set of rational numbers;
 Q' = set of irrational numbers; and
 R = set of real numbers
Find the following sets:


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(Z &#8745; Q) U N =            a)   (Z &#8745; Q) = Z (it is obvious and even more than obvious);
                         b)  Therefore,  (Z &#8745; Q) U N = Z U N = Z  (again, it is obvious and even more than obvious).


(Q U Q') &#8745; R =           a)  (Q U Q') = R (it is obvious);
                         b)  Therefore,  (Q U Q') &#8745; R = R &#8745; R = R  (it is obvious).


(N U Z) U (Q &#8745; R) =      a)  (N U Z) = Z;  (Q &#8745; R) = Q  (obvious)
                         b)  Therefore,  (N U Z) U (Q &#8745; R) = Z U Q = Q.


(Q U R) &#8745; N =


(Q U N)' &#8745; R =


Q' &#8745; Z =


*the options for the answers are: null set {}, Q, Z, N, R, and Q'
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And so on . . .  &nbsp;&nbsp;From this point, &nbsp;go ahead on your own.


I don't want to do ALL this simple work instead of you.


It is REALLY very SIMPLE.