what is the symbol of row in sets?
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Show that A UB=An B implies A = B
In order to prove A = B, we should prove
A is a subset of B i.e. A CB
& B is a subset of A i.e. B CA
Let x E A.
Then, x E AUB.
Since A UB=AnB,
XEAN B.So, x E B... If x EA, then x E B
i.e. if an elements belongs to set A, then it must belong to set B also
Therefore, ACB.
Similarly, if y E B,
then y EAU B.
Since A UB=An B,
YEAN B.
So, y E A.
.. If y EB, then y EA i.e. if an elements belongs to set B, then it must belong to set A also Therefore, BCA.
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