Question

2) if d (A,B)=5, d (B,C)=2, d (A,C) =3 then which of the following options is true a A A-C-B B) ABC (c-A-B D None of these​

Answer 1

Answer:

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.