Solve the following system of inequalities graphically: 2x + y 6
MATHEMATICS · Subjective · AoPS · Mathematics · Introduction to Inequalities · Introduction to Inequalities
Problem
Solve the following system of inequalities graphically:
2x+y≥6,x+2y≤10,x≥0,y≥0.
(i) Draw the boundary lines for each inequality on the same coordinate plane, indicating clearly whether each line is solid or dotted.
(ii) Shade the appropriate half–plane for every inequality and obtain the common region.
(iii) Classify the common region obtained in part (ii) as bounded, unbounded or empty and justify your answer clearly.