Examine whether the following system of inequalities possesses a feasible region:
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
Examine whether the following system of inequalities possesses a feasible region:
(i) Draw the boundary lines corresponding to each inequality and indicate the correct half-plane for every inequality.
(ii) Identify the common overlapping region, if any, which satisfies all four inequalities.
(iii) State whether the system has at least one solution. Give a clear justification based on your graphical work in part (ii).