Answer the following with reference to graphing a single linear inequality:
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
Answer the following with reference to graphing a single linear inequality:
(i) State the rule that decides whether the boundary line of a linear inequality in two variables should be drawn as a solid line or a dashed line.
(ii) Explain why the point (0,0) cannot always be chosen as the test point for deciding the shading region. Give one specific example of an inequality where (0,0) is not suitable and name an alternative test point that can be used.
(iii) For the inequality 3x−2y≤6, describe step-by-step how you would select a test point and determine which half-plane represents the solution set, without actually drawing the graph.