Answer:
Option B.
Step-by-step explanation:
we know that
If a ordered pair is a solution of the system of inequalities
then
the ordered pair must satisfy both inequalities of the system
Verify each case
Case A) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2< -3[/tex] ----> is not true
therefore
The ordered pair is not a solution of the system A
Case B) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2> -3[/tex] ----> is true
Inequality 2
[tex]-2 \geq \frac{2}{3} (3)-4[/tex]
[tex]-2\geq -2[/tex] ----> is true
therefore
The ordered pair is a solution of the system B
Case C) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2<-3[/tex] ----> is not true
therefore
The ordered pair is not a solution of the system C
Case D) we have
The point (3,-2)
Substitute the value of x and the value of y in both inequalities and then compare the results
Inequality 1
[tex]-2>-2[/tex] ----> is not true
therefore
The ordered pair is not a solution of the system D
