Let be a real number

MATHEMATICS · Subjective · CBSE · Mathematics · Linear Inequalities · Linear Inequalities

Problem

Let

k

be a real number. For the system

x+k y\le 4

,\;

2x-y\ge 1

,\;

x\ge 0

,\;

y\ge 0

,\; determine the set of all values of

k

for which the point

(1,1)

satisfies every inequality.