QUESTIONS

1. Show that if m(A) = 0, then for any set B,

m(AB) = m(B)

2. If ABRn, then show that

m(A) m(B)

3. Show that (AB) = (A) + (B) for any disjoint elements A,BA .

4. Show that () = 0.

5. Show that the Real number (R) and the empty set () are measurable sets.