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Show that A ∩ B = A ∩ C need not imply B = C

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Show that A ∩ B = A ∩ C need not imply B = C.
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Let A = {0, 1}, B = {0, 2, 3}, and C = {0, 4, 5}
Accordingly, A ∩ B = {0} and A ∩ C = {0}
Here, A ∩ B = A ∩ C = {0}
However, B ≠ C [2 ∈ B and 2 ∉ C]
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Show that A ∩ B = A ∩ C need not imply B = C.
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