The shaded region in the following figure represents the solution set for a certain linear programming problem. Then, linear constraints for this region are given by

Text Solution
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: Line
passes through
and 
Equation of line
is 

The shaded region for
lies on the side of origin.
So, inequality will be
.
Similarly
represent the line 
Since shaded region lies on opposite side of origin for 

Similarly, other two inequalities are:
or
represented by
, and
represented by
. So the given system of inequations are
, 
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