Question

1) How would you test whether (2, -2) is a solution of the system?

Answer 1

When you’re given two coordinates, recall that the coordinates are in the format of (x, y).

Knowing this, you know that in the coordinate (2, -2) the value of x equals 2 and the value of y equals -2.

Thus, we can put these variables into the two given equations and see if the equations hold.

-2 < -2(2) + 3

-2 < -4 + 3

-2 < -1

As you can tell, the first equation holds since -1 is bigger than -2.

Onto the second equation.

-2 ≥ 2 - 4

-2 ≥ -2

As you can tell, the second equation holds as well since -2 equals -2.

This means that yes, (2, -2) is a valid solution.