8. Show that the following sets have measure 0 by constructing a covering with intervals that have arbitrarily small total length. (Hint: Recall that Py n¼1 1

2n ¼ 1.)

(a) The integers Z

(b) 1 n j n ¼ 1; 2; 3; . . .
 

(c) The rationals QVð0; 1Þ