不等式 log1/2(x平方-1）大于等于零

不等式 log1/2(x平方-1）大于等于零
不等式 log1/2(x平方-1）大于等于零

不等式 log1/2(x平方-1）大于等于零
log(x^2-1)≥0
===> log(x^2-1)≤0
首先,定义域是x^2-1＞0,所以：x＞1,或者x＜-1
再,x^2-1≤1
===> x^2≤2
===> -√2≤x≤√2
综上：-√2≤x＜-1,或者1＜x≤√2

log1/2(x²-1）≥0
log1/2(x²-1）≥log1/2 1
01x<-1或x>1 且 -√2≤x≤√2
即-√2≤x-1或1