Show that A ∩ B = A ∩ C need not imply B = C.
Let us assume, A = {0, 1}
B = {0, 2, 3}
And, C = {0, 4, 5}
Now, accordingly we have:
And, 
∴ 
Also, 
11
Show that A ∩ B = A ∩ C need not imply B = C.
Let us assume, A = {0, 1}
B = {0, 2, 3}
And, C = {0, 4, 5}
Now, accordingly we have:
And,
∴
Also,