Set Theoryhard
0:00.0

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