Question

Graph the system of inequality and shade the solution

2x+2y is greater than or equal to -6

x+y is less than or equal to -1

Answer 1

Answer: See attached.

Explanation:

First, we will graph the two inequalities. We will graph as we would with normal linear equations.

However, 2x + 2y ≥ -6 uses a ≥ sign so we will shade above a solid line and x + y ≤ -1 uses a ≤ sign so we will shade below a solid line.

The solution to this system of inequalities is where the shaded parts "overlap." You can see that in the attachment I have labeled it as such.

These two lines are parallel, so there is no intersection between the two lines. However, there is an intersection between the shaded inequality lines, this gives us the solution.