Two boundary lines are drawn on the same coordinate plane:
MATHEMATICS · Subjective · AoPS · Mathematics · Introduction to Inequalities · Introduction to Inequalities
Problem
Two boundary lines are drawn on the same coordinate plane:
(i) x−y=2 (solid line) with the half–plane above this line shaded, and
(ii) x+y=6 (dotted line) with the half–plane below this line shaded.
Write the system of inequalities whose feasible region is the common shaded area.