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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)`
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Inequations in Management Mathematics
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Find the age standard death rate (S.D.R.) for the following data:
| Age (in years) |
Population | No. of deaths |
| 0 - 20 | 40000 | 350 |
| 20 - 65 | 65000 | 650 |
| 65 and above | 15000 | x |
Using the above information find x, if the CDR = 13.4 per thousand.
