Graphically, a point is a solution to a system of two inequalities if and only if the point
lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality.
lies in the shaded regions of both the top and bottom inequalities.
does not lie in the shaded region of the top or bottom inequalities.

Respuesta :

Answer:

it is c

Step-by-step explanation:

top is correct

We want to know when a point is a solution to a system of inequalities. We will see that the correct option is "lies in the shaded regions of both the top and bottom inequalities."

Solution of an inequality:

A point is a solution to a inequality if and only if it belongs to the shaded region of the graph.

Solution of a system of inequalities:

A point is a solution to a system of inequalities if and only if it is a solution of each independent inequality that conforms the system.

Then, it must belong to all the shaded regions that represent the solution set of the inequalities at the same time, this means that it must belong to the intersection of the shaded regions.

From this, the correct option is:

"lies in the shaded regions of both the top and bottom inequalities."

If you want to learn more about inequalities, you can read:

https://brainly.com/question/11234618

Q&A Education