Q89Section C (Part C)89 of 120

Metric spaces — distance to a set

Let $(X,d)$ be a metric space. For a non-empty subset $A$ of $X$ , and $x\in X$ , define $d(x,A)=\inf_{a\in A}d(x,a)$ . Which of the following statements are necessarily true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

Keyboard: A–D answer · S solution · ←/→ previous/next