If A is lebesgue measurable sets in R^n, bounded, then there is a compact set K_epsilon and an open set for every epsilon > 0 V_epsilon such that
K_epsilon is subset of A and A is a subset of V_epsilon
and for m(A-K) < epsilon
m(V-K) < epsilon
Lebesgue Measurable Sets, Compact Sets and Open Sets are investigated. The solution is detailed and well presented.