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Get Answers to all your Questions
Q3. Let A, B, and C be the sets such that A B = A
C and A
B = A
C. Show that B = C.
Answers (1)
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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