求集合的取值范围高三必修一经典例题

Question

怎么求？？？求详细步骤

Answer 1

A={x|-2<=x<=5},
(1)-2<=m+1,2m-1<=5,解得-3<=m<=3.
(2)m-6<=-2,5<=2m-1,解得3<=m<=4.
(3)m-6=-2,2m-1=5,不可能，m的取值范围是空集。追问

A不应该是等于{x|2<=x<=5}吗？

追答

A={x|-2<=x<=5},没错.