Question

How Do you solve this equation 1<=abs(x)<=4?

Answer 1

solve 2 inequalities.
if \(x>0\) then \(|x|=x\) and so the first one is \(1<x<4\)
but if \(x<0\) then \(|x|=-x\) so solve \(1<-x<4\) for \(x\)

Answer 2

change the signs and also the inequality, get \(-1>x>-4\) or
\(-4<x<-1\)

Answer 3

Just this?