(2a-3)/(a+1)≤-1的解怎么来的-1

问题描述:

(2a-3)/(a+1)≤-1的解怎么来的-1

(2a-3)/(a+1)≤-1
(2a-3)/(a+1)+1≤0
(2a-3+a+1)/(a+1)≤0
(3a-2)/(a+1)≤0
∴{3a-2≥0或{3a-2≤0
a+1<0 a+1>0
解得无解或-1<a≤2/3
∴原不等式的解是-1<a≤2/3