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Question

If A and B are two sets such that AB, then what is AB?

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Solution

Let xAB
xAorxB
Since, AB
xB
But x is an arbitrary element of set AB.
ABB ....(1)
Let yB
yAB
But y is an arbitrary element of set B
BAB ....(2)
From (1) and (2), we get
AB=B

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