Q72·Section II (Mathematics)·72 of 145μ(A Δ B)\mu(A\,\Delta\,B)μ(AΔB) is a pseudometric: distinct sets can be at distance 0Let μ\muμ be a measure on a ring R\mathbf RR, then d(A,B)=μ(A Δ B)d(A,B)=\mu(A\,\Delta\,B)d(A,B)=μ(AΔB), A,B∈RA,B\in\mathbf RA,B∈R, is: OptionsAa pseudometric on R\mathbf RRBa metric on R\mathbf RRCd(A,B)=0d(A,B)=0d(A,B)=0 does not imply A=BA=BA=BDd(A,B)=d(A,C)+d(C,B)d(A,B)=d(A,C)+d(C,B)d(A,B)=d(A,C)+d(C,B) holds for all A,B,C∈RA,B,C\in\mathbf RA,B,C∈RPick an option to check your answer.Show answerShow solution Report a problem with this question← Q71All questionsQ73 →Keyboard: A–D answer · S solution · ←/→ previous/next