Mathematics

Problem

For the system of inequalities

x + y \le 4

x + ky \ge 6

x \ge 0

y \ge 0

, determine the set of values of

k

for which the feasible region is non–empty. a)

k \le \dfrac{3}{2}

k \ge \dfrac{3}{2}

0<k<\dfrac{3}{2}

k \ge 1