Yes it is true because that person is improving themselves
Often times when something is being “cleaned up” it is either broken, not used, or too used / worn down. So, to narrow our options down we can start from top to. bottom.
When throwing away something such as glass, it is usually broken. We also know that glass, when broken is very sharp and can be dangerous. Meaning glass can be a big option for an answer.
Next, when throwing away paper, it is often due to it being used. When we throw it away, we usually crumble it up into a ball. Making it not so dangerous. Meaning paper can’t be an option for an answer.
Now, food scrap, when thrown away it is usually either eaten away from, or rotten. Making this not very dangerous due to food usually not being able to inflict damage to one.
Finally, a battery. When throwing a battery away, we often due so, because it is dead . Meaning it is just the battery, except dead. Meaning a battery is not likely the answer.
Making the answer to be, glass. We know this to be true because when glass is being thrown away, it is usually broken. Allowing the sharp edges to cut you. Making it dangerous, and requiring special handling, and safe disposal.
