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题库 / Prep2007E2-DS-64
If a < y < z < b, is |y - a| < |y - b| ?
(1) |z - a| < |z - b|
(2) |y - a| < |z - b|
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.
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画个图，把a,y,z,b看成一条线上的四个点，按照从小到大向右排列
1）|z - a | < |z - b |说明za之间的距离比ab之间的距离小，y在z的左边，那么ya之间的距离比yb之间的距离更小，能推出|y - a | < |y - b |
2）|y - a | < |z - b | yb之间的距离大于zb,所以 |y - a | < |y - b |
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