State whether the system of inequalities has any feasible solution when

MATHEMATICS · Subjective · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

State whether the system of inequalities

x + y \le k,\; x \ge 0,\; y \ge 0

has any feasible solution when (i)

k=-2

, (ii)

k=0

, and (iii)

k=3

. Give a one-line reason for each case.