For all z, [z] denotes the least integer greater than or equal to z. Is [x] = 0 ?

(1) - 1 < x < - 0.1

(2) [x+0.5] = 1


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.

考题讲解

题目分析:

表示大于或等于z的最小整数。

(1)    如果− 1 < x < − 0.1,则大于x的最小整数为0,题目得解。

(2)  如果-0.5<x<0.5,满足= 1。在此区间内,如果-0.5<x≤0,则满足= 0;但是如果0<x<0.5,则= 1,所以根据条件2无法进行判断。

因此,本题答案为(A),仅条件1可以解题,条件2不行。

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