Which of the following statements is the most accurate regarding a function d(x,y) = |sin(x−y)|, where x and y are members of the real number set?

Question

Answer

d fulfills the identity but not the symmetry criteria for a metric.

Answer

d fulfills the symmetry but not the triangular inequality criteria for a metric.

Answer

d fulfills the triangular inequality but not the non-negativity criteria for a metric.

Answer

d fulfills the non-negativity but not the identity criteria for a metric.

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