Consider the inequality

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

Problem

Consider the inequality 2x−ky≥42x - ky \ge 4. The point (3,−1)(3,-1) satisfies the inequality, whereas the origin (0,0)(0,0) does not. Which of the following describes all possible real values of kk? (a) k≤−2k \le -2 (b) k≥−2k \ge -2 (c) −2<k<2-2 < k < 2 (d) k=−2k = -2

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