Set Theoryhard
0:00.0

Let χS(x)\chi_S(x) denote the characteristic function of set SS, where χS(x)=1\chi_S(x) = 1 if xSx \in S and χS(x)=0\chi_S(x) = 0 if xSx \notin S. For three sets A,B,CA, B, C, let T=(AB)CT = (A \setminus B) \setminus C. Which of the following expressions is equivalent to χT(x)\chi_T(x) for all xx?