Helle Everyone,

In one book, the Lebesgue measure is said to possess the following properties (among others):

1) the measure of any measurable set can be approximated from above by open sets; that is, for any measurable M

is open

2) the measure of any measurable set can be approximated from below by compact sets; that is, for any measurable M

is compact

Can any one provide a very simple example of this property? Like in ?