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Unburnable Garbage, Nonburnable Trash, Unburnable Trash, Nonburnable Rubbish, Unburnable Rubbish
These are not burnable garbages (ごみ). Pay attention to this on signs when you throw things away. You want to put the right things into nonburnable garbage.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
Please take out the nonburnable garbage on Tuesday.