Answer :

We know that, if we take reciprocal of any inequality we need to change the inequality as well.


Also,


|x|–3≠0


|x|>3 or |x|<3


For |x|<3


–3<x<3


x ϵ (–3, 3) …(1)


, The equation can be re–written as–



Adding 2 both the sides, we get–


|x|–3+3≥ 2+3


|x|≥5


We know that,


|x |≥a x≤–a or x≥a


Here, a=5


x≤–5 or x≥5


x ϵ(–∞,–5 ] or x ϵ[5, ∞) …(2)


x ϵ(–∞,–5 ] (–3, 3) [5, ∞) (from 1 and 2)


We can verify the answers using graph as well.



Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Solve each of theRD Sharma - Mathematics

A solution is to RD Sharma - Mathematics

A company manufacRD Sharma - Mathematics

<span lang="EN-USRS Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal - Mathematics

<span lang="EN-USRS Aggarwal - Mathematics

Solve each of theRS Aggarwal - Mathematics

Solve x + 5 > RS Aggarwal - Mathematics

Find the solutionRS Aggarwal - Mathematics

If |x – 1| > 5Mathematics - Exemplar