Answer:
Option c
. (2, 5)
Step-by-step explanation:
we know that
If a ordered pair lie in the solution set of a system of inequalities, then the ordered pair must satisfy both inequalities of the system
we have
----> inequality A
----> inequality B
<u><em>Verify each ordered pair</em></u>
case a) (2,-5)
<em>Verify inequality A</em>
----> is not true
so
The point not satisfy inequality A
therefore
The point not lie in the solution set
case b) (-2,5)
<em>Verify inequality A</em>
----> is not true
so
The point not satisfy inequality A
therefore
The point not lie in the solution set
case c) (2,5)
<em>Verify inequality A</em>
----> is true
so
The point satisfy inequality A
<em>Verify inequality B</em>
---> is true
so
The point satisfy inequality B
therefore
The point lie in the solution set
case d) (-2,-5)
<em>Verify inequality A</em>
----> is not true
so
The point not satisfy inequality A
therefore
The point not lie in the solution set