Is kicking off a team member a sign of a bad leader?

So I was in an interview recently and I shared my experience leading a team. One member wasn't carrying the weight, she was barely present and never turned in her assignment. So I told my interviewer that what I did was I gave her multiple warnings and tried to contact her, when it didn't work, I had to kick her off the team. My interviewer responded that we all have different take on leadership.

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I was wondering if what I said was appropriate? Did I tank the interview by saying that?

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