1. No that is not safe to be used at home because, the wire is broken so if you apply energy to the cord then you can get electrocuted and start a house fire.
2. A way to help keep your family safe is to throw the cord away if it's a object of some sort like a vacuum just buy a new one to make sure you and your family stay safe.
Step-by-step explanation:
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The rubber is what keeps the wire insulated and to stop it from shocking you. so no if you use that cable you are posing a hazard to yourself. Although chargers can have the rubber be torn and still work properly, it better not to take any chances. (i may or may not be wrong but do what you want)
