Question

Select the point that is a solution to the system of inequalities. y ≤ 2x-2 y ≤ x2 - 3x

A. (4,2)

B. (-2,-1)

C. (1,3)

D. (2,1)

Answer 1

B & D are the answers I believe

Answer 2

A. (4,2).

Explanation:

The given system is

`y\leq 2x-2\\y\leq x^(2) -3x`

It's important to know that the solution of a system of inequalities is represented as an area, that is, we need to graph each inequality and see where the intercept.

In the image attached you can observe the area of solution to this system, which is the purple area, that is, under the linea and outside the parabola.

Now, we just need to place each choice and see which one falls on the area of solution.

As you can observe in the image, the only point that falls into the area of solution is A. (4,2).

Therefore, the answer is A.