Answer:
Option A.
Step-by-step explanation:
step 1
we know that
The equation of the solid line is
[tex]y=5[/tex]
The solution is the shaded area above the solid line
so
The equation of the first inequality is
[tex]y\geq 5[/tex]
step 2
The equation of the dashed line is
[tex]y=x^{2} -5x+6[/tex]
The solution is the shaded area above the dashed line
so
The equation of the second inequality is
[tex]y>x^{2} -5x+6[/tex]
therefore
The system of inequalities could be
[tex]y\geq 5[/tex]
[tex]y>x^{2} -5x+6[/tex]
