Linear Inequalities: Estimations
Multiple linear inequalities with two unknowns
The two lines given by the equations #-25\cdot x+31\cdot y-625=0# and #-42\cdot x-31\cdot y-523=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?
\[-25\cdot x+31\cdot y-625\lt0, \quad -42\cdot x-31\cdot y-523\gt0 \]
Which area is the solution of the following inequalities?
\[-25\cdot x+31\cdot y-625\lt0, \quad -42\cdot x-31\cdot y-523\gt0 \]
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