Thread: absolute value inequality

Good day everyone,

I faced problem solving this inequality algebraically, can anyone please help me out, thanks in advance!

6/(|x|+1)<|x|

Originally Posted by imforumer

Good day everyone,

I faced problem solving this inequality algebraically, can anyone please help me out, thanks in advance!

6/(|x|+1)<|x|

|x|^2 +|x|-6 > 0

(|x|+3)(|x|-2) > 0

|x|-2 > 0 (since |x|+3 is always positive )

|x|>2

i.e. x<-2 or x >2