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Definition of Relations

If A=x:x is...

Question

If $A = {x : x i s a n a t u r a l n u m b e r}, B = {x : x i s e v e n n a t u r a l n u m b e r},$
$C - {x : x i s a n o d d n a t u r a l n u m b e r}$ and $D = {x : x i s a' n u m b e r}$ find
$C \cap D$

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Solution

A∪(A∩B)=(A∪A)∩(A∪B)∵ distributive law
=A∩(A∪B)=A

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