Chicago White Sox First-Place Clinch Scenario

Chicago does not have a first-place clinch number

Here is a scenario in which Chicago wins all 11 of their remaining games (68 total) but does not but does not clinch first place.

Team             W	L	PCT	GB
Cleveland        90	72	0.556	0.00
Detroit          89	73	0.549	1.00
Kansas City      79	83	0.488	11.00
Minnesota        72	90	0.444	18.00
Chicago          68	94	0.420	22.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Detroit          85	65	12	0.567	0.0
Cleveland        78	71	13	0.523	6.5
Kansas City      75	75	12	0.500	10.0
Minnesota        66	84	12	0.440	19.0
Chicago          57	94	11	0.377	28.5

Next, we show how the remaining series of games in the division play out in the scenario:

Chicago has won the season series with Minnesota 8 games to 5.
Cleveland has won the season series with Chicago 11 games to 2.
Cleveland has won the season series with Kansas City 8 games to 5.
Detroit has won the season series with Chicago 8 games to 5.
Detroit has won the season series with Kansas City 9 games to 4.
Detroit has won the season series with Minnesota 8 games to 5.
Kansas City has won the season series with Chicago 10 games to 3.
Kansas City has won the season series with Minnesota 7 games to 6.

Cleveland currently has 3 wins against Detroit and 4 losses.
  Cleveland wins 5 additional games against Detroit and loses 1.
  Cleveland wins the series 8 games to 5

Cleveland currently has 6 wins against Minnesota and 3 losses.
  Cleveland wins 4 additional games against Minnesota and loses 0.
  Cleveland wins the series 10 games to 3

Chicago wins 11 games agains teams outside the division and loses 0.
Cleveland wins 3 games agains teams outside the division and loses 0.
Detroit wins 3 games agains teams outside the division and loses 3.
Kansas City wins 4 games agains teams outside the division and loses 8.
Minnesota wins 6 games agains teams outside the division and loses 2.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Chicago White Sox' magic number
# Chicago's magic number
# White Sox' magic number
# MLB Playoff Race