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Q. An electrician can be paid schemes as follows:
I. rupee $ 600 $ and rupee $ 50 $ per hour
II. rupee $ 170 $ per hour
If the job take $ n $ hours, for which values of $ n $ does the scheme $I$ given the electrician better wages

AMUAMU 2016Linear Inequalities

Solution:

Here, number of hours $=n$
For scheme I give the electrician better wages
$ \Rightarrow 600+50 n >170 n $
$\Rightarrow 600 >170 n-50 n$
$\Rightarrow 600 >120 n $
$\Rightarrow \frac{600}{120}>n$
$\Rightarrow 5>n $
$\Rightarrow n < 5$
$\therefore$ For $n < 5$, scheme I will give better wages to electrician.