15. An infinite sequence of positive integers is called an “alpha sequence” if the number of even integers in the sequence is finite. If S is an infinite sequence of positive integers, is S an alpha sequence?

(1) The first ten integers in S are even.

(2) An infinite number of integers in S are odd.

ans: E. Mine: B.

No question on (1).

Question is:

if (2) says: in S, odd numbers are infinite, then i would have picked up E as well.

However, (2) An infinite number of integers in S are odd means, for me, only odd numbers are infinite and even numbers are finite.

XDJM, how do you guys understand this expression?