LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
997 views
in Linear Inequations by (51.0k points)
closed by

Solve and show the given inequality on the number line : 

– 5 ≤ 3x – 2 < 7, where x ∈ R

1 Answer

+1 vote
by (48.4k points)
selected by
 
Best answer

The given inequality can be split into two inequalities : 

–5 ≤ 3x – 2 and 3x – 2 < 7 

⇒ –5 + 2 ≤ 3x and 3x < 7 + 2 ⇒ –3 ≤ 3x and 3x < 9 

⇒ -1 ≤ x and x < 3 ⇒ -1 ≤ x < 3 

This can be shown on a number line as :

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...