Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-35\cdot x+43\cdot y-445=0# and #-21\cdot x-14\cdot y-581=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?
\[-35\cdot x+43\cdot y-445\gt0, \quad -21\cdot x-14\cdot y-581\lt0 \]
Which area is the solution of the following inequalities?
\[-35\cdot x+43\cdot y-445\gt0, \quad -21\cdot x-14\cdot y-581\lt0 \]
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