Answer:
Step-by-step explanation:
we know that
If a point is a solution of a system of linear inequalities, then the point must satisfy both inequalities of the system
<u><em>Verify each system of inequalities</em></u>
case 1) we have
----> inequality A
-----> inequality B
Verify if the ordered pair (2,1) is a solution of the system
<em>Inequality A</em>

----> is not true
so
The ordered pair not satisfy the inequality A
therefore
The ordered pair is not a solution of the system of inequalities
case 2) we have
----> inequality A
-----> inequality B
Verify if the ordered pair (2,1) is a solution of the system
<em>Inequality A</em>

----> is true
so
The ordered pair satisfy the inequality A
<em>Inequality B</em>

-----> is not true
so
The ordered pair not satisfy the inequality B
therefore
The ordered pair is not a solution of the system of inequalities
case 3) we have
----> inequality A
-----> inequality B
Verify if the ordered pair (2,1) is a solution of the system
<em>Inequality A</em>

----> is true
so
The ordered pair satisfy the inequality A
<em>Inequality B</em>

----> is true
so
The ordered pair satisfy the inequality B
therefore
The ordered pair satisfy the system of inequalities
case 4) we have
----> inequality A
-----> inequality B
Verify if the ordered pair (2,1) is a solution of the system
<em>Inequality A</em>

----> is not true
so
The ordered pair satisfy the inequality A
therefore
The ordered pair not satisfy the system of inequalities