Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-31\cdot x+35\cdot y-565=0# and #-37\cdot x-15\cdot y-745=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?
\[-31\cdot x+35\cdot y-565\gt0, \quad -37\cdot x-15\cdot y-745\lt0 \]
Which area is the solution of the following inequalities?
\[-31\cdot x+35\cdot y-565\gt0, \quad -37\cdot x-15\cdot y-745\lt0 \]
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