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Get Answers to all your Questions
Q10. Show that A B = A
C need not imply B = C.
Answers (1)
Let, A = {0,1,2}
B = {1,2,3}
C = {1,2,3,4,5}
Given, A B = A
C
L.H.S : A B = {1,2}
R.H.S : A C = {1,2}
and here {1,2,3} {1,2,3,4,5} = B
C.
Hence, A B = A
C need not imply B = C.
View full answer
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