Consider the system of linear inequalities 2x + y < 6
MATHEMATICS · Subjective · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
Consider the system of linear inequalities
2x+y<6,x−y≥2,y≥0.
(i) Draw all three boundary lines on the same set of axes, showing clearly their intercepts.
(ii) For each boundary, specify whether it should be represented by a solid line or a dashed line, and state the reason in each case.
(iii) Shade the feasible region determined by the three inequalities and label it R.