Answering the opposition is critical to being persuasive because a claim that has merit must be defended against the inquisition of queries by people who have a contrary view.
Responding to the opposition is important because, when done successfully, it helps to buttress and make your claim even stronger.
Example:
Homeschooling kids helps to ensure that they are given adequate attention to their educational needs and that they always have a conducive environment to learn.
Homeschooling also ensures that the kids are not limited to the school's curriculum.
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