Question

Can someone help me on this question please?

A system of inequalities is shown:

y ≤ x + 6

y ≥ 9x − 9

Which point is in the solution set of the system of inequalities shown? Explain your answer.

Question 2 options:

(-1, 7) because it lies below the boundary line y=x+6.


(3, 2) because it lies above the boundary line y=9x−9.


(3, 10) because it lies below the boundary line y=9x−9 and above the boundary line y=x+6.


(-2, 2) because it lies above the boundary line y=9x−9 and below the boundary line y=x+6.

Answer 1

The answer to your question is: (-2, 2)

Explanation:

Data

y ≤ x + 6

x ≥ 9x - 9

Process

Graph the inequalities and find the area where both inequalities crosses.

In the graph the common area is darker.

The only point that lies in the darker area is (-2, 2)