If d(A, B) =5, d(B, C) =2, d(A, C) =3 then which of the following option is true?
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For the given sets,
(A∪B)= { a,b,c,d,e,g} (Combination of all elements of both sets)
Clearly, elements of C are a part of A∪B as well,
So, C⊂(A∪B)
And, (A∩B)= { a,c,e} (Common elements of both sets )
As the elements of C are not completely a part of A∩B , Option B is not True.
Also,
(A∪C)= { a,b,c,d,e,g}
Clearly, (A∪B)=(A∪C)
Hence, both first option and third options are True.
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