Question

please solve as fast as possible..
Solve : |x|-1/|x|-3 is greater than or equal to 0,x belongs to R,x is not equal to + or -3

Answer 1

An expression is greater than zero if numerator and denominator are of same sign

case 1 :

|x|-1 >=0 and  |x|-3 >=0

⇒ |x|>=3

case 2:

|x|-1 <=0 and  |x|-3 <=0

⇒|x|<=1

The solution is  {x ∈ R/ |x|>=3  ∪  |x|<=1 }