Answer:
C (0,-2)
Step-by-step explanation:
we have
[tex]y\leq x+1[/tex] -----> inequality A
The solution of the inequality A is the shaded area below the solid line [tex]y=x+1[/tex]
[tex]y\leq x^{2} -3x[/tex] ----> inequality B
The solution of the inequality B is the shaded area below the solid line of the parabola [tex]y=x^{2} -3x[/tex]
so
The solution of the system of inequalities is the shaded area between the two solids line
see the attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
Plot the points
The solution is the point C, because the point C lie on the shaded area of the solution
