34. let(x,d) be a metric spacc and let a x. for xe x, define d(x. a) = inf {d(x.a): aea} if d(x, a)= 0 for all x e x, then which of the kollowlng assertions mus

34. Let(X,d) be a metric spacc and let A X. For XE X, define d(x. A) = inf {d(x.a): aeA} If d(x, A)= 0 for all x e X, then which of the kolloWLng assertions must be true ( 4 is compact (3) Ais dense in A (2) is closed (4) =X