If x + y + z > 0, is z > 1 ?

(1) z > x + y + 1

(2) x + y + 1 < 0



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:

(1)    例如z=1,x=0.5,y=-0.5,满足条件1也满足x + y + z > 0,但不满足z>1。又如z=2,x=0,y=0,满足条件1也满足x + y + z > 0,但此时z>1,所以根据条件1无法进行判断。

(2)    若满足x + y + 1 < 0,两边同时加z不等号方向不变,即x+y+z+1<z,又因为x + y + z > 0,所以必然有z>1。

因此,本题答案为(B),仅条件2可以解题,条件1不行。

 

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