Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-47\cdot x+35\cdot y-405=0# and #-44\cdot x-23\cdot y-663=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?
\[-47\cdot x+35\cdot y-405\lt0, \quad -44\cdot x-23\cdot y-663\gt0 \]
Which area is the solution of the following inequalities?
\[-47\cdot x+35\cdot y-405\lt0, \quad -44\cdot x-23\cdot y-663\gt0 \]
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