![(4,0)](/tpl/images/0478/1728/98cb0.png)
Step-by-step explanation:
we have
-----> inequality A
-----> inequality B
we know that
If a ordered pair is a solution of the system of equations , then the ordered pair must satisfy both inequalities
Verify each case
case A) ![(4,0)](/tpl/images/0478/1728/98cb0.png)
Inequality A
![0](/tpl/images/0478/1728/c1341.png)
------> is true
Inequality B
![0-4+2](/tpl/images/0478/1728/e8d30.png)
-------> is true
therefore
the ordered pair is a solution
case B) ![(0,0)](/tpl/images/0478/1728/561d7.png)
Inequality A
![0](/tpl/images/0478/1728/d9990.png)
------> is not true
therefore
the ordered pair is not a solution
case C) ![(1,-3)](/tpl/images/0478/1728/89ded.png)
Inequality A
![-3](/tpl/images/0478/1728/6a642.png)
------> is true
Inequality B
![-3-1+2](/tpl/images/0478/1728/96f72.png)
-------> is not true
therefore
the ordered pair is not a solution
case D) ![(-2,3)](/tpl/images/0478/1728/c5f69.png)
Inequality A
![3](/tpl/images/0478/1728/74bfc.png)
------> is not true
therefore
the ordered pair is not a solution