Consider a system of linear inequalities in two variables whose solution set is…
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
Consider a system of linear inequalities in two variables whose solution set is called the feasible region.
(i) Define a feasible region in the context of linear inequalities.
(ii) Prove that the feasible region obtained by simultaneously satisfying any finite number of linear inequalities in two variables is always a convex set.
(iii) Draw a rough sketch of two intersecting half-planes to illustrate part (ii) and mark the feasible region clearly.