MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
Consider the linear inequality 3x+4y<0.
(i) Define the term "boundary line" for a linear inequality in two variables.
(ii) The boundary line of the given inequality passes through the origin. Explain, with reason, why the origin cannot be used as a test point to locate the solution half-plane. Choose another convenient test point and justify your choice.
(iii) Describe, step by step, how you would decide which half-plane to shade for the given inequality once the test point is selected.