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题库 / Prep2007E2-DS-8
If n and p are integers, is p > 0 ?
(1) n + 1 > 0
(2) np > 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.
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（1）n+1>0 n>-1 只有n没有跟P相关的；不充分。
（2）Np>0 只能说明np同号，有可能都为负整数；不充分。
联立：n>-1 n=0 n=1
NP>0 n又必须满足大于-1的正整数，所以n最小值也就是1，p>0
充分
(1) n + 1 > 0
(2) np > 0
(1) n+1>0 且 n 是整數，則 n = 0,1,2,3,4,......... ->not sufficient
(2) np>0, n&p>0 or n&p not sufficient
(1)(2) n&p>0 -> sufficient
所以条件1是n＞-1 n大于等于0
再根据条件二同号，n不等于0
得出p大于0