Final answer:
The inequality to represent the maximum acceptable weight for a bag of rice is 50 kg - 1 kg ≤ weight ≤ 50 kg + 1 kg. The maximum weight a bag can reach while still being acceptable is 51 kilograms.
Step-by-step explanation:
The student is asked to determine the maximum acceptable weight for a bag of rice given that the bags are supposed to be filled to a weight of 50 kilograms, but can deviate at most by 1 kilogram. To represent this situation, we can write the inequality:
50 kg - 1 kg ≤ weight ≤ 50 kg + 1 kg
This means that the weight of the bag can be as low as 49 kilograms and as high as 51 kilograms. Solving for the maximum weight:
weight ≤ 50 kg + 1 kg
weight ≤ 51 kg
Therefore, the maximum acceptable weight for a bag of rice is 51 kilograms.