MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
Consider the inequality −2x+y≥0, whose boundary line passes through the origin.
(i) Obtain any two convenient points to plot the boundary line on graph paper and draw the line.
(ii) Explain why the point (0,0) cannot be used as a test point in this case. Choose another suitable test point, show the substitution, and decide which half–plane represents the solution set.
(iii) Shade the appropriate region on the graph and clearly label it.
(iv) Check algebraically whether the points (3,1) and (−4,−9) lie inside the shaded region or outside it.