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Solve the Following Inequation : – 8 < – (3x – 5) < 13. - Mathematics and Statistics

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प्रश्न

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

उत्तर

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)`

shaalaa.com
Inequations in Management Mathematics
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2017-2018 (March)

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