Question

Select the point that is a solution to the system of inequalities

Answer 1

C (0,-2)

Explanation:

we have

`y\leq x+1` -----> inequality A

The solution of the inequality A is the shaded area below the solid line
`y=x+1`

`y\leq x^(2) -3x` ----> inequality B

The solution of the inequality B is the shaded area below the solid line of the parabola
`y=x^(2) -3x`

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