MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
Let k be a real parameter. Consider the inequality (k−3)x>9.
(i) Solve the inequality for x when k−3>0.
(ii) Solve the inequality for x when k−3<0.
(iii) Determine all real values of k for which the solution set of (k−3)x>9 is contained entirely within the interval (2,∞).