Final answer:
The term that describes voluntarily giving up a claim or right, often with a gesture meaning bye-bye, is 'Renounce'.
Step-by-step explanation:
In this case, the correct answer is b) Renounce. When you renounce a claim or a right, you voluntarily give it up, often with a gesture symbolizing farewell. This term is commonly used in matters of citizenship, where individuals can formally renounce their citizenship if they wish.