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college math

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Indicate whether the deductive reasoning used is an example of affirming the hypothesis or denying the conclusion. 7)
If a number is divisible by 3, then the sum of the digits of that number is divisible by 3.
A number is divisible by 3. Therefore sum of the digits of that number is divisible by 3.
7)
_______ A)
affirming the hypothesis B)
denying the conclusion C)
both affirming the hypothesis and denying the conclusion D)
neither affirming the hypothesis nor denying the conclusion

I want to know if I have this answer right is it C. both affirming the hypothesis and denying the conclusion?

  • college math - ,

    If the example affirms the hypothesis but denies the conclusion, that that is a counterexample to the implication (true does not imply false).

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