MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
Examine the inequality 2x−3y>0.
(i) Show that the point (0,0) lies on the boundary line of the inequality.
(ii) Select a convenient test point not lying on the boundary line and determine which side of the line represents the solution region.
(iii) Draw the graph of the inequality, indicating clearly whether the boundary is solid or dashed and shading the appropriate half–plane.
(iv) Test whether the point (6,5) belongs to the solution region and justify your conclusion.