Question

The green shaded region does not represent the solution to the system of linear inequalities given below. Explain why not.

y ≥ 2 3.5x +2y ≤ 20

Answer 1

Explanation:

The area of solutions of the first inequality lies above an orange straight line.

The area of solutions of the second inequality lies below a blue straight line.

These areas are crossed in the yellow field.

The green field does not meet a condition of the second inequality and therefore does not enter the area of the solution of a system of inequalities

Answer 2

The blue line should be solid because the inequality has “or equal to.” The green shading should be on the other side of the blue line. The blue line should be part of the solution set.