A solid straight line passes through the points and on the coordinate plane
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
A solid straight line passes through the points (4,0) and (0,2) on the coordinate plane. The region of interest consists of all points that lie on the line or strictly below it, and the region is restricted to the first quadrant.
Answer the following questions.
(i) Find the equation of the boundary line in intercept form.
(ii) Write the linear inequality that represents the given region, making sure that the inequality sign correctly reflects the inclusion of the boundary.
(iii) Explain, with suitable reasoning, why the chosen inequality symbol ("≤" or "≥") is appropriate in this situation.