(a) Define a linear inequality in two variables and the solution set of such an…
MATHEMATICS · Subjective · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
(a) Define a linear inequality in two variables and the solution set of such an inequality.
(b) Consider the inequality 2x+5y≤10.
(i) Show by direct substitution whether the points A(0,0), B(2,2) and C(3,0) satisfy the inequality.
(ii) For each point in part (i), state clearly whether it is an interior point, a boundary point, or an exterior point of the solution set, giving reasons for your answer.