MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
Consider the inequality 2x+y≤6. Answer the following:
(i) Find the x–intercept and the y–intercept of its boundary line.
(ii) Sketch the boundary line on the Cartesian plane and completely shade the region representing all points that satisfy the inequality.
(iii) Verify algebraically whether the point (3,1) lies inside the shaded region obtained in part (ii).