Q58·Section II (Mathematics)·58 of 180Both candidate distances fail identity of indiscerniblesFor x,y∈Rx,y\in\mathbf Rx,y∈R, define d1(x,y)=∣∣x∣−∣y∣∣d_1(x,y)=||x|-|y||d1(x,y)=∣∣x∣−∣y∣∣ and d2(x,y)=∣x2−y2∣d_2(x,y)=|x^2-y^2|d2(x,y)=∣x2−y2∣. Then: OptionsAd1d_1d1 and d2d_2d2 are metrics on R\mathbf RRBd1d_1d1 is a metric on R\mathbf RR and d2d_2d2 is not a metric on R\mathbf RRCd2d_2d2 is a metric on R\mathbf RR and d1d_1d1 is not a metric on R\mathbf RRDneither d1d_1d1 nor d2d_2d2 is a metric on R\mathbf RRPick an option to check your answer.Show answerShow solution Report a problem with this question← Q57All questionsQ59 →Keyboard: A–D answer · S solution · ←/→ previous/next