Final answer:
The inequality for the number of people, n, at the football match, rounded to the nearest hundred as 35,500, is 35,500 ≤ n < 35,600.
Step-by-step explanation:
If there were 35,500 people at a football match to the nearest hundred, then the number of people, n, must satisfy an inequality that bounds n between the nearest hundreds below and above 35,500. So the lower bound would be the nearest hundred not greater than 35,500, which is 35,500 itself since it's already a multiple of 100, and the upper bound would be the next hundred which is 35,600. The inequality that represents this situation is:
35,500 ≤ n < 35,600
This inequality states that the number of people at the match is at least 35,500 but less than 35,600, which covers any possible number of people that could be rounded to exactly 35,500 when approximating to the nearest hundred.