Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create a system of inequalities as well as an included and excluded point. Make the points as close together as possible.

### Hint

How can you check whether your solution is included or excluded algebraically? How can you check whether your solution is included or excluded graphically?

### Answer

The current closest distance between the included and excluded points is √2 units from:

y < -2x + 7

y > 8x + 4

Included: (0, 5)

Excluded: (1, 6)

y < -2x + 7

y > 8x + 4

Included: (0, 5)

Excluded: (1, 6)

Source: Robert Kaplinsky