Question 1:
We have the region given by:
First we want to find an ordered pair that is not a solution, that is, evaluate the inequality in a pair (x, y) and that it is not fulfilled.
Example:
We replace:
It is not fulfilled
The pair (3,1) is not a solution of
Now, we want to find an ordered pair that is a solution of the region, that is, that the inequality is met.
Example:
We replace:
The inequality is met.
The pair (3,8) is solution of
Answer:
The pair (3,1) is not a solution of
The pair (3,8) is solution of
Question 2:
For this case, we must evaluate each of the options in the acad region:
Coordinate 1: (x, y) = (5,3)
Set 1:
Is fulfilled.
Set 2:
Is fulfilled.
Coordinate 2: (x, y) = (4,3)
Set 1:
It is not fulfilled
Set 2:
If it is fulfilled.
Coordinate 3: (x, y) = (3,4)
Set 1:
It is not true
Set 2:
Is fulfilled.
Coordinate 4: (x, y) = (4,4)
Set 1:
It is not true
Region 2:
Is fulfilled
Answer:
There is not a pair that is not a solution of both at the same time