Sinx=(2m-3)/(4-m)有意义,求m的取值范围

问题描述:

Sinx=(2m-3)/(4-m)有意义,求m的取值范围

Sinx=(2m-3)/(4-m)有意义
则:-1≤(2m-3)/(m-4)≤1
(1)(2m-3)/(m-4)≤1
(2m-3-m+4)/(m-4)≤0
(m+1)/(m-4)≤0
-1≤m4或m≤7/3
综合(1)和(2)得:
-1≤m≤7/3