Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-30\cdot x+37\cdot y-565=0# and #-36\cdot x-32\cdot y-548=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?
\[-30\cdot x+37\cdot y-565\lt0, \quad -36\cdot x-32\cdot y-548\lt0 \]
Which area is the solution of the following inequalities?
\[-30\cdot x+37\cdot y-565\lt0, \quad -36\cdot x-32\cdot y-548\lt0 \]
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