This was a textbook problem I saw. It's been hurting my brain a bit...isn't this always going to be true?
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Originally Posted by zhupolongjoe This was a textbook problem I saw. It's been hurting my brain a bit...isn't this always going to be true? $\displaystyle \begin{array}{rcl} {A\backslash \left( {A\backslash B} \right)} & = & {A \cap \left[ {A \cap B^c } \right]^c } \\ {} & = & {A \cap \left[ {A^c \cup B} \right]} \\ {} & = & {A \cap B} \\ \end{array} $ Now you finish it off.
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