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Show that A nnB = A nn C need not imply...

Show that `A nnB = A nn C` need not imply `B = C`.

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To show that \( A \cap B = A \cap C \) need not imply \( B = C \), we can construct specific sets \( A \), \( B \), and \( C \) and analyze their intersections. ### Step-by-Step Solution: 1. **Define the Sets**: - Let \( A = \{1, 2, 3\} \) - Let \( B = \{2, 3, 5\} \) - Let \( C = \{3, 4\} \) ...
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Knowledge Check

  • If A, B and C are three sets such that A nn B = A nn C and AuuB = A uu C , then

    A
    `A=C`
    B
    `B=C`
    C
    `A nn B =phi `
    D
    A=B

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