Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-32\cdot x+33\cdot y-569=0# and #-25\cdot x-40\cdot y-625=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?
\[-32\cdot x+33\cdot y-569\lt0, \quad -25\cdot x-40\cdot y-625\gt0 \]

Which area is the solution of the following inequalities?
\[-32\cdot x+33\cdot y-569\lt0, \quad -25\cdot x-40\cdot y-625\gt0 \]
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