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.