Question

The point,(-2,3) is a solution to the following system. y>-2x-2 and y< 3
true or false​

Answer 1

Answer: FALSE.

Explanation:

Given the system of inequalities:

`\left \{ {{y>-2x-2} \atop {y< 3}} \right.`

We can know if the point (-2,3) is a solution to the following system with the graph of the system of inequalities.

By definition the solution is the intersection region of all the solutions of the system of inequalities.

Knowing this and analizing the graph attached, we can notice that the point (-2,3) is not included in the intersection region (Remember that with symbols "<" and ">" the lines are dashed and any point that lines of these lines is not included in the intersection region).

Therefore, it is not a solution to the system.

Answer 2

false

Explanation:

y>-2x-2

3>-2(-2) -2

3>4 -2

3>2

y< 3

3< 3