# Q3. Let A, B, and C be the sets such that A  B = A  C and A  B = A  C. Show that B = C.

Let A, B, and C be the sets such that A  B = A  C and A  B = A  C

To prove : B = C.

A  B = A + B - A  B =  A  C = A + C - A  C

A + B - A  B =  A + C - A  C

B - A  B =   C - A  C              ( since  A  B = A  C )

B = C

Hence proved that  B= C.

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