问题
选择题
0<x<5是不等式|x-4|<4成立的( )
A.充分不必要条件
B.必要不充分条件
C.充要条件
D.既不充分也不必要条件
答案
不等式|x-4|<4的-4<x-4<4,0<x<8.
由于0<x<5,而(0,5)是(0,8)的一个子集,
故0<x<5是不等式|x-4|<4成立的充分不必要条件.
故选A.
0<x<5是不等式|x-4|<4成立的( )
A.充分不必要条件
B.必要不充分条件
C.充要条件
D.既不充分也不必要条件
不等式|x-4|<4的-4<x-4<4,0<x<8.
由于0<x<5,而(0,5)是(0,8)的一个子集,
故0<x<5是不等式|x-4|<4成立的充分不必要条件.
故选A.
用方框中动词的适当形式填空 | |
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