Answer:
Option D
Step-by-step explanation:
step 1
Find the equation of the inequality A (quadratic equation)
The quadratic equation is
[tex]y=x^{2}-3x[/tex]
we know that
The solution of the inequality A is the shaded area above the solid line of the quadratic equation
so
The inequality is equal to
[tex]y\geq x^{2}-3x[/tex]
step 2
Find the equation of the inequality B (linear equation)
The linear equation is
[tex]y=-x+3[/tex]
we know that
The solution of the inequality B is the shaded area below the solid line of the linear equation
so
The inequality is equal to
[tex]y\leq -x+3[/tex]
