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Question
For three sets A, B and C, show that \[A \cap B = A \cap C\]
Solution
Let A = {2, 4, 5, 6}, B = {6, 7, 8, 9} and C = {6, 10, 11, 12,13}
\[So, A \cap B = \left\{ 6 \right\} \text{ and } A \cap C = \left\{ 6 \right\}\]
\[\text{ Hence }, A \cap B = A \cap C \text{ but } B \neq C\]
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