Question

Help!! I am doing Algebra I online this summer, and I don?t really get this question... can anyone explain?

Which of the following points lie in the solution set to the following system of inequalities?

y <_ x - 5
y <_-x - 4

(1, 10)
(-1, 10)
(10, 1)
(1, -10)
*MEDALS*

Answer 1

Try all choices by plugging in the given ordered pairs. You will find that:

-10 <= (1) - 5
-10 <= - (1) - 4

(1, -10)

Answer 2

(-1, -10) is correct. Graph both, and see which point is shaded twice.

Answer 3

If a point is a solution to a set of equations or inequalities you just have to show that it satisfies them all. If you plug in the (x,y) pair you will either get a statement that is true:

\[-10 \le -4\]

Or a statement that is false:

\[10 \le -4\]

In order to satisfy the system it has to be true for all the equations/inequalities in the system.