Final answer:
The possible distances Manuel rode during each session when he began training are any values less than 7 miles.
Step-by-step explanation:
To find the possible distances Manuel rode during each session when he began training, we can first represent the distance he now rides as 35 miles. We are told that this is more than 5 times the distance he rode during each session when he first began training.
So, we can set up the equation 5x < 35, where x represents the distance Manuel rode during each session when he first began training.
To solve this inequality, we divide both sides by 5: x < 35/5 => x < 7.
Therefore, the possible distances Manuel rode during each session when he began training are any values less than 7 miles.