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For three sets A, B, and C, show that A ∩ B = A ∩ C need not imply B = C. |
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Answer» Let A = {1, 2} B = {2, 3} C = {2, 4} Then, A ∩ B = {2} A ∩ C = {2} Hence, A ∩ B = A ∩ C, but clearly B is not equal to C. |
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