Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Set Theoryhard
0:00.0

Let χS(x)\chi_S(x)χS​(x) denote the characteristic function of set SSS, where χS(x)=1\chi_S(x) = 1χS​(x)=1 if x∈Sx \in Sx∈S and χS(x)=0\chi_S(x) = 0χS​(x)=0 if x∉Sx \notin Sx∈/S. For three sets A,B,CA, B, CA,B,C, let T=(A∖B)∖CT = (A \setminus B) \setminus CT=(A∖B)∖C. Which of the following expressions is equivalent to χT(x)\chi_T(x)χT​(x) for all xxx?