Given the conditional statement;"If Max gets good grade, then he won't be grounded"Which of the following is the contrapositive?
Question
Given the conditional statement;"If Max gets good grade, then he won't be grounded"Which of the following is the contrapositive?
Solution
The contrapositive of the given conditional statement "If Max gets good grades, then he won't be grounded" is "If Max is grounded, then he didn't get good grades."
Here's the step-by-step process:
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Identify the hypothesis and conclusion in the original statement. In this case, "Max gets good grades" is the hypothesis and "he won't be grounded" is the conclusion.
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Swap the hypothesis and conclusion. This gives us "If he won't be grounded, then Max gets good grades."
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Negate both the hypothesis and conclusion. This gives us "If Max is grounded, then he didn't get good grades."
So, the contrapositive of the original statement is "If Max is grounded, then he didn't get good grades."
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