MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
For the real parameter k, consider the inequality (k−1)(2x+3)>4x+3(k−1).
(i) Simplify the inequality for k=3 and solve for x in terms of k. State the solution set in each case that arises from your simplification.
(ii) Examine the case k=3 separately and determine whether the inequality has a solution. Give a clear justification.
(iii) Using your result from part (i), write the explicit solution sets when (a) k=5 and (b) k=0.