# Example of metric space with given property

Give an example of metric space that contains balls $B(x_1,r_1)\subsetneqq B(x_2,r_2)$, with $r_1>r_2$.

Was initially thinking about discrete metric, however, in discrete case one can never achieve a proper subset with given condition.

In the metric on $\{0,1,2\}$ induced by the standard metric on $\mathbb R$, $B(0,1.2)\subsetneq B(1,1.1)$.