Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-37\cdot x+42\cdot y-421=0# and #-26\cdot x-43\cdot y-607=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?
\[-37\cdot x+42\cdot y-421\lt0, \quad -26\cdot x-43\cdot y-607\gt0 \]
Which area is the solution of the following inequalities?
\[-37\cdot x+42\cdot y-421\lt0, \quad -26\cdot x-43\cdot y-607\gt0 \]
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