To determine the minimum number of visits \( v \) that Jordan needs to earn his first free movie ticket, we can set up the inequality based on the points he has and the points he earns per visit.
Jordan starts with 65 points and earns 10.5 points for each visit to the movie theater. He needs at least 185 points to earn a free movie ticket.
The correct inequality for this situation is:
\[ 65 + 10.5v \geq 185 \]
This means that the total points he accumulates (65 plus 10.5 times the number of visits) must be greater than or equal to 185.
So the answer is:
65 + 10.5v ≥ 185