Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-29\cdot x+42\cdot y-557=0# and #-28\cdot x-39\cdot y-583=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?
\[-29\cdot x+42\cdot y-557\gt0, \quad -28\cdot x-39\cdot y-583\gt0 \]

Which area is the solution of the following inequalities?
\[-29\cdot x+42\cdot y-557\gt0, \quad -28\cdot x-39\cdot y-583\gt0 \]
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