Carrots go soft and floppy when they start going bad. However, this doesn't mean they're unusable (see below). However, if they feel slimy, then they have gone off and should be placed in the garbage. Smell.

Are bendy carrots OK?

A rubbery soft carrot isn't bad for you, it just isn't very pleasant. A slimy carrot is bad for you, don't eat it. And you can typically resuscitate softening carrots by wrapping them in damp paper towels and allowing them to rehydrate.

Is it OK to eat limp carrots?

Are Limp Vegetables OK to Eat? If your vegetables are slightly bendy, wrinkly or floppy then they are ok to eat. However, if your vegetables are mouldy, smelly, or slimy then it's best they go into the compost bin.