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Set Theoryhard
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Let χA(x)\chi_A(x)χA​(x) be the characteristic function of a set AAA, defined as χA(x)=1\chi_A(x) = 1χA​(x)=1 if x∈Ax \in Ax∈A and χA(x)=0\chi_A(x) = 0χA​(x)=0 if x∉Ax \notin Ax∈/A. Which of the following expressions is equivalent to the characteristic function of the symmetric difference, χAΔB(x)\chi_{A \Delta B}(x)χAΔB​(x)?