Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-41\cdot x+28\cdot y-577=0# and #-29\cdot x-13\cdot y-673=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?
\[-41\cdot x+28\cdot y-577\gt0, \quad -29\cdot x-13\cdot y-673\lt0 \]

Which area is the solution of the following inequalities?
\[-41\cdot x+28\cdot y-577\gt0, \quad -29\cdot x-13\cdot y-673\lt0 \]
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