Exhibit graphically, the solution set of the linear inequalities.
4x + 3y ≤ 12, 3x + 4y ≤ 12, x ≥ 0, y ≥ 0
Solve the following system of linear inequalities graphically.
x + y ≤ 5, 4x + y ≥ 4, x + 5y ≥ 5, x ≤ 4, y ≤ 3
Find the linear inequalities for which the shaded area in the diagram is the solution set.
Solution not provided.
Ans. 2x + 3y ≥ 6, x + 2y ≤ 6, -3x + 2y ≤ 3, x - 2y ≤ 2, x ≥ 0, y ≥ 0
Find all pairs of consecutive odd positive integers both of which are smaller than 10, such that their sum is greater than 11.