Final answer:
At least 6 men can play in the coed soccer league.
Step-by-step explanation:
To determine how many men can play in the coed soccer league, we need to find the minimum number of players required for a team and subtract the number of women available to play.
Given that at least 1/3 of the team's players must be women, we can express this as an inequality: x - 3 ≥ (1/3)x, where x represents the total number of players on the team.
Simplifying the inequality, we have: 3 ≥ (1/3)x
Multiplying both sides by 3, we get: 9 ≥ x
Therefore, the minimum number of players required on a team is 9. Since there are 3 women available to play, we subtract that from the total number of players: 9 - 3 = 6
So, at least 6 men can play in the coed soccer league.