Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-38\cdot x+44\cdot y-378=0# and #-27\cdot x-31\cdot y-613=0# divide the plane into four areas, indicated in the figure below as I, II, III and IV.
Which area is the solution of the following inequalities?
\[-38\cdot x+44\cdot y-378\gt0, \quad -27\cdot x-31\cdot y-613\gt0 \]

Which area is the solution of the following inequalities?
\[-38\cdot x+44\cdot y-378\gt0, \quad -27\cdot x-31\cdot y-613\gt0 \]
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