MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
Let (k−1)x+2y≤6 be a linear inequality in two variables. It is known that the point (0,−1) satisfies the inequality while the point (3,4) does not.
(i) Obtain the inequality in k arising from the condition on (0,−1).
(ii) Obtain the inequality in k arising from the condition on (3,4).
(iii) Hence, find the range of values of k for which both conditions hold simultaneously.