Answer :
Final answer:
The correct inequalities to represent a movie that can be at most 220 minutes long are 'm ≤ 220' and '220 ≥ m'. So the correct option is (A) and (D) respectively.
Explanation:
The student is asking which inequality represents the situation where a movie can be at most 220 minutes long. The variable m is used to represent the length of the movie in minutes. According to the given information, the length of the movie must be less than or equal to 220 minutes. Therefore, the correct inequality that represents this situation is m ≤ 220. This is shown in option (A). Inequalities (B) and (C) are incorrect because they suggest that the movie could be equal to or longer than 220 minutes, which conflicts with the 'at most' condition. Option (D) is just a different notation of option (A) and also correctly represents the situation where the movie length is less than or equal to 220 minutes.
So the correct answers that represent the situation are:
- (A) m ≤ 220
- (D) 220 ≥ m