已知y满足不等式1+y2-y>2+2+y3,化简|y+1|+|2y-1|的结果是( ) A.-3y B.3y C.y D.-y+2
问题描述:
已知y满足不等式
-y>2+1+y 2
,化简|y+1|+|2y-1|的结果是( )2+y 3
A. -3y
B. 3y
C. y
D. -y+2
答
-y>2+1+y 2
,2+y 3
去分母得,3+3y-6y>12+4+2y,
解得,y<-
.13 5
所以y+1<0,2y-1<0,
|y+1|+|2y-1|=-y-1-2y+1=-3y.
故选A.