What is A intersection B'

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I was answering the questions in my book and came over the question: What is A intersection B complement? I thought the answer would be shading everything EXCEPT the middle part where A and B intersect, but instead when I check my answer from the back, the ONLY thing they shaded was the middle part where A and B intersect. Could anyone please explain this to me?

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1 Answer

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$A\cap B^C$ is the definition of $A\setminus B$: everything that is in $A$, but not in $B$. A corresponding Venn-diagram is here:
${}\rlap{\raise3cm{\hskip1.5cm\color{white}{A\setminus B}}}$

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