Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-37\cdot x+39\cdot y-457=0# and #-18\cdot x-7\cdot y-499=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?
\[-37\cdot x+39\cdot y-457\gt0, \quad -18\cdot x-7\cdot y-499\lt0 \]
Which area is the solution of the following inequalities?
\[-37\cdot x+39\cdot y-457\gt0, \quad -18\cdot x-7\cdot y-499\lt0 \]
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