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(IMT 1.1.6).Let E,F⊆R^d be Jordan measurable sets. 1. (Monotonicity) Show that if E⊆F, then m(E)≤m(F). 2....

(IMT 1.1.6).Let E,F⊆R^d be Jordan measurable sets.

1. (Monotonicity) Show that if E⊆F, then m(E)≤m(F).

2. (Finite subadditivity) Show that m(E∪F)≤m(E) +m(F).

3. (Finite additivity) Show that if E and Fare disjoint, then m(E∪F) =m(E) +m(F).

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