Question

Which ordered pairs make both inequalities true?

1. y < 5x + 2
2. y ≥ 2x + 1

Answer 1

In the image at the end you can see the graph of the system, there we can identify some solutions like (5, 20) or (10, 25)

Which ordered pairs are solutions of the system?

Here we have a system of inequalities:

y < 5x + 2

y ≥ 2x + 1

A ordered pair (x, y) is a solution of the system only if it makes both inequalities true.

To identify these points we can graph both inequalites in the same coordinate axis, the region of the solutions is the intersection between the shaded areas.

In the image below you can see the graph, there we can see that some solutions can be:

(5, 20) or (10, 25)