Final answer:
The correct inequality that represents the situation is x ≥ 31.
Step-by-step explanation:
In this situation, let's represent the amount Jake withdraws from the bank as 'x'. Since he started with 6 dollars and added 'x' dollars to his wallet, he would have 6 + x dollars. According to the question, he had a total of 37 dollars in his wallet, so we can set up the inequality:
6 + x ≥ 37
To solve this inequality, we subtract 6 from both sides:
x ≥ 31
Therefore, the correct inequality that represents this situation is x ≥ 31.