Let the point satisfy both inequalities and

MATHEMATICS · Single correct · CBSE · Mathematics · Linear Inequalities · Linear Inequalities

Problem

Let the point

(k,\,2)

satisfy both inequalities

3x - y \ge 4

and

x + 4y \le 12

. Which of the following intervals contains all possible real values of

k

? (a)

k \ge 4

(b)

2 < k < 4

(c)

2 \le k \le 4

(d)

k \le 2