=+12.2. Suppose that A € 221, A( A) > 0, and 0 < < 1. Show that there is a bounded open interval I such that A( An1) 2 0A(1). Hint: Show that A(A) may be assumed finite, and choose an open G such that A CG and A(A) ≥ 0A(G).

Now G = U, I ,, for disjoint open intervals I ,, [A12], and E ,, A(ANI,)≥

0E„, À(I„); use an In-