Refer to the following conditional statement:

If a and b are odd integers, then a + b is an even integer.

Which shows the hypothesis?

A.
a + b is not an even integer

B.
a and b are not odd integers

C.
a and b are odd integers

D.
a + b is an even integer

Question

Refer to the following conditional statement:

If a and b are odd integers, then a + b is an even integer.

Which shows the hypothesis?



  A. 
 a + b is not an even integer   
   

 
 

  

  B. 
 a and b are not odd integers   
   

 
 

  

  C. 
 a and b are odd integers   
   

 
 

  

  D. 
 a + b is an even integer

anonymous · Answer

Given the statement, I would choose D.

mathstudent55 · Answer

If (hypothesis), then (conclusion).

anonymous · Answer

For example, if we had the integers 9 and 11 that is going to result in an even integer of 20.  Any time you add up two odd integers, you get an even result.

anonymous · Answer

make sense?

anonymous · Answer

Yah I understand your explanation.

mathstudent55 · Answer

With all the explanations, the answer is still not D.

anonymous · Answer

hmm, it is not?

anonymous · Answer

The hypothesis states a conclusion.

anonymous · Answer

Actually, reading it over again I think the answer might be B.

anonymous · Answer

now im officially confused

anonymous · Answer

@mathstudent55 Could you explain?

mathstudent55 · Answer

If              a and b are odd integers,           then             a + b is an even integer.
If                      (hypothesis),                      then                    (conclusion).

anonymous · Answer

Yes, so the answer was D.

anonymous · Answer

If you state that a and b are odd integers then you will hypothesis that A+B will result in even integers

mathstudent55 · Answer

In a conditional, the "if part" is called the hypothesis, and the "then part" is called the conclusion.

mathstudent55 · Answer

In your case, the if part is "a and b are odd integers". This is the hypothesis.
The then part is "a + b is an even integer". That is the conclusion.

mathstudent55 · Answer

This question has nothing to do with the fact that the sum of two odd integers will result in an even integer. This question only has to do with the names of the the parts of a conditional.

anonymous · Answer

Thank you

anonymous · Answer

It is more of a logic question.

mathstudent55 · Answer

Here's a conditional written in code:

If anftre itnmfnt, then lkj adssr trrtt.

I have no idea what the code is, so I don't know what "anftre itnmfnt" and "lkj adssr trrtt" mean, but I can still tell you that
"anftre itnmfnt" is the hypothesis
"lkj adssr trrtt" is the conclusion.

Once again, this has nothing to do with logic, or the meaning of the sentence. This only has to do with the names of the parts of a conditional.

anonymous · Answer

I understand now.  It is more about interpretation and what the parts of the statement are.

mathstudent55 · Answer

Correct.