Prove That A’ − B’ = B − A

Prove That A’ − B’ = B − A

Question:

For any two sets \( A \) and \( B \), prove that:

\[ A’-B’=B-A \]

Solution

\[ A’-B’ \] \[ =A’\cap(B’)’ \] \[ =A’\cap B \] \[ =B\cap A’ \] \[ =B-A \]

Hence proved.

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