Open Middle®
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
y 8x + 4
included (0,5)
excluded (1,6)