#### 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

Solution Solve the Following Inequation : – 8 < – (3x – 5) < 13. Concept: Inequations in Management Mathematics.