Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-47\cdot x+29\cdot y-537=0# and #-18\cdot x-19\cdot y-583=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?
\[-47\cdot x+29\cdot y-537\lt0, \quad -18\cdot x-19\cdot y-583\lt0 \]

Which area is the solution of the following inequalities?
\[-47\cdot x+29\cdot y-537\lt0, \quad -18\cdot x-19\cdot y-583\lt0 \]
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