Is x + y < 1 ?
(1) ~$x< \frac{8}{9}$~
(2) ~$y< \frac{1}{8}$~
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
Draw a number line for x+ y < 73/ 72 and x +y < 1
Then you will see that as we found that x+ y < 73/ 72
At the interval 1 =< x+ y < 73/ 72 we can not conclude that x +y < 1