HSC Commerce 12th Board ExamMaharashtra State Board
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Solution for Solve the Following Inequation : – 8 < – (3x – 5) < 13. - HSC Commerce 12th Board Exam - Mathematics and Statistics

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Question

Solve the following inequation :
– 8 < – (3x – 5) < 13. 

Solution

The given inequality is 

`-8<-(3x-5)<13` 

=`-8<3x+5<13` 

=`-8-5<-3x+5-5<13-5`

=`-13<-3x<8` 

Multiplying by – 1, we have

`13>3x>-8` 

=`13/3>x>-8/3`

reversing the order of inequality 

`-8/3<x<13/3`

∴ The solution set is x ∈ `(-8/3,13/3)`

  Is there an error in this question or solution?

APPEARS IN

 2017-2018 (March) (with solutions)
Question 6.1.3 | 3.00 marks
Solution Solve the Following Inequation : – 8 < – (3x – 5) < 13. Concept: Inequations in Management Mathematics.
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