Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-42\cdot x+28\cdot y-574=0# and #-34\cdot x-45\cdot y-445=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?
\[-42\cdot x+28\cdot y-574\gt0, \quad -34\cdot x-45\cdot y-445\lt0 \]
Which area is the solution of the following inequalities?
\[-42\cdot x+28\cdot y-574\gt0, \quad -34\cdot x-45\cdot y-445\lt0 \]
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