Question

A system of linear inequalities is shown below. y ≥ –2x – 3 1 y<2x+1 Which of the following ordered pairs is a solution to the graph of the system of inequalities? Select all that apply. A. (–4, 1) B. (–3, –4) C. (0, –3) D. (0, 1) E. (5, –2)

Answer 1

The points (0, -3) and (5, -2) are solutions to the system of equations.

To find the solutions, you first have to graph both of the lines in the problem.
y = -2x - 3 and y = 2x + 1. Then, to shift them to an inequality, you have to shade the half-plane that they represent. 

The solution is the space that they have in common. In this case, it will be on the right side of the graph.

The points (0, -3) and (5, -2) are included in the shaded region they have in common.