The school football coach wants to know how many hours he trained Lyle and Trent this season. This season, each training session was 2 hours. There was also one mandatory weekend workout that counted for 6 hours of training. Lyle and Trent both attended the weekend workout, but attended different numbers of training sessions. This season, Lyle had at least 42 hours of training. Trent attended at least twice as many training sessions as Lyle. Write an inequality.

1 answer

Let x be the number of training sessions Lyle attended.
The total number of hours from the training sessions Lyle attended is 2x hours.
Trent attended at least twice as many training sessions as Lyle, so Trent attended 2x training sessions.
The total number of hours from the training sessions Trent attended is 2 * 2x = 4x hours.
The total number of hours from the training sessions Lyle and Trent attended is 2x + 4x = 6x hours.
The weekend workout counted for an extra 6 hours of training.
The total number of hours Lyle and Trent trained this season is 6x + 6 hours.
Lyle had at least 42 hours of training, so 6x + 6 >= 42. Answer: \boxed{6x + 6 \geq 42}.