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?
If the example affirms the hypothesis but denies the conclusion, that that is a counterexample to the implication (true does not imply false).
Based on the information provided, the deductive reasoning used in this example is an example of affirming the hypothesis.
Here's how you can arrive at this conclusion:
1. The initial statement is: "If a number is divisible by 3, then the sum of the digits of that number is divisible by 3." This is the hypothesis.
2. The given information is: "A number is divisible by 3." This is the evidence.
3. By affirming the hypothesis, you would conclude that the sum of the digits of that number is divisible by 3. In this case, the conclusion matches the hypothesis, so it is affirming the hypothesis.
Therefore, the correct answer is A) affirming the hypothesis.