What is the result of A, B, and C when using the subset formula?

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A U B = X
C U B = Y
C U A = Z

knowing that A U B is the child of Y and Z
Cold you help me rewiete the formila ?

Thank you
 
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?? Define "child".
 
I meant subset.
I don't know how to use only U to display the relation
 

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