Answer :

Given,


|x – 1| > 5


There are two cases,


(x – 1) > 5


x > 6


x (6, ∞) [1]


And


-(x – 1) > 5


-x + 1 > 5


-x > 4


x < -4 [Multiplication by negative inverts the inequality sign]


x (-∞, -4) [2]


From [1] and [2], we get


x (-∞, -4) (6, ∞)

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