Determine whether the following statements are true or false. If it is false, explain why please, 1.1f be the Lebesgue measure on R and Els an open subset of R. then N(E) > Oif and only if Eis nonempty. 2. if be the Lebesgue measure on Rand Eis a Borel subset of R then X(E) > Oif and only if E is nonempty. 3. If .... An are measures on and af,..., nare nonnegative real numbers, then the function A defined for E € 6 by X(E) = 4,n,(E) , is a measure on G 4. If f belongs to L, then f belongs to L. 5. f(x, , ) is a measure space and X = {EEG: (E)=0}, then X is a o-algebra.