Texas Rangers First-Place Eliminiation Scenario
Texas must win 32 more games (70 total) to avoid elimination from first place.
Here is a scenario in which Texas can finish in first place with 70 wins.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Houston          64	42	56	0.604	0.0
Oakland          60	47	55	0.561	4.5
Seattle          56	50	56	0.528	8.0
Los Angeles      52	53	57	0.495	11.5
Texas            38	67	57	0.362	25.5

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

Houston wins 0 games against Los Angeles and loses 10.
Houston wins 2 games against Oakland and loses 4.
Houston wins 0 games against Seattle and loses 9.
Houston wins 0 games against Texas and loses 7.
Houston wins 0 games agains teams outside the division and loses 0.

Los Angeles wins 10 games against Houston and loses 0.
Los Angeles wins 2 games against Oakland and loses 1.
Los Angeles wins 6 games against Seattle and loses 0.
Los Angeles wins 0 games against Texas and loses 11.
Los Angeles wins 0 games agains teams outside the division and loses 0.

Oakland wins 4 games against Houston and loses 2.
Oakland wins 1 games against Los Angeles and loses 2.
Oakland wins 4 games against Seattle and loses 5.
Oakland wins 1 games against Texas and loses 8.
Oakland wins 0 games agains teams outside the division and loses 0.

Seattle wins 9 games against Houston and loses 0.
Seattle wins 0 games against Los Angeles and loses 6.
Seattle wins 5 games against Oakland and loses 4.
Seattle wins 0 games against Texas and loses 6.
Seattle wins 0 games agains teams outside the division and loses 0.

Texas wins 7 games against Houston and loses 0.
Texas wins 11 games against Los Angeles and loses 0.
Texas wins 8 games against Oakland and loses 1.
Texas wins 6 games against Seattle and loses 0.
Texas wins 0 games agains teams outside the division and loses 0.

Combining the current standings with the wins and losses from the scenario results in the following final standings:
Team             W	L	PCT	GB
Texas            70	92	0.432	0.0
Los Angeles      70	92	0.432	0.0
Oakland          70	92	0.432	0.0
Seattle          70	92	0.432	0.0
Houston          66	96	0.407	4.0


Next, we explain why Texas cannot win the division with fewer than 70 wins.

There are a total of 76 games left in the following series of games between teams in the American League West:
Houston          vs. Los Angeles      10 games
Houston          vs. Oakland          6 games
Houston          vs. Seattle          9 games
Houston          vs. Texas            7 games
Los Angeles      vs. Oakland          3 games
Los Angeles      vs. Seattle          6 games
Los Angeles      vs. Texas            11 games
Oakland          vs. Seattle          9 games
Oakland          vs. Texas            9 games
Seattle          vs. Texas            6 games

For each team listed above, the table below shows the current number of wins in the (W) column.
The next column shows the maximum number of its remaining games that each team can win assuming that
Texas finishes in first place with a total of 69 wins.

Team             W	Max Additional Wins
Houston          64	69 - 64 = 5
Los Angeles      52	69 - 52 = 17
Oakland          60	69 - 60 = 9
Seattle          56	69 - 56 = 13
Texas            38	69 - 38 = 31
Total            270	75

Since the total of the Max Additional Wins column is less than 76, it is not possible for Texas to win the division with 69 (or fewer) total wins.