Question

解不等式|x+3|-|2x-1|＜2.

Answer 1

解析:(1)x≤-3时,不等式为-x-3+2x-1=x-4＜2x＜6x≤-3.?

(2)x≥时,不等式为x+3-2x+1=-x+4＜2x＞2.??

(3)-3＜x＜时,x+3+2x-1=3x+2＜2x＜0-3＜x＜0.?

则不等式的解集为(-∞,0)∪(2,+∞).