Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-30\cdot x+27\cdot y-615=0# and #-38\cdot x-39\cdot y-443=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?
\[-30\cdot x+27\cdot y-615\lt0, \quad -38\cdot x-39\cdot y-443\lt0 \]

Which area is the solution of the following inequalities?
\[-30\cdot x+27\cdot y-615\lt0, \quad -38\cdot x-39\cdot y-443\lt0 \]
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