Question

PLEASE SOMEONE HELP ME WITH THIS PLEASE

sketch the solution set to the system of the inequalities shown below.

y < 6
y ≥ x - 6

is the point (10, 5) a solution to the system? justify

PLEASE SOMEONE ANSWER IMAGE INCLUDED

Answer 1

I attached a picture showing a graph of y<6 and y>=x-6. As you can see, the point (10,5) is in y<6 and y>=x-6.

You can also tell this because y<6 highlights everything with the y value of less than 6. 5 is less than 6, so instantly you can realize that (10,5) is a solution to the system.