Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-36\cdot x+40\cdot y-460=0# and #-33\cdot x-45\cdot y-465=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?
\[-36\cdot x+40\cdot y-460\lt0, \quad -33\cdot x-45\cdot y-465\gt0 \]
Which area is the solution of the following inequalities?
\[-36\cdot x+40\cdot y-460\lt0, \quad -33\cdot x-45\cdot y-465\gt0 \]
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