Question

What is the conclusion of the following conditional?

A number is divisible by 3 if the sum of the digits of the number is divisible by 3/

A. The number is odd.
B. The sum of the digits of the number is divisible by 3.
C. If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
D. The number is divisible by 3.

I think it's C. What do you think?

Answer 1

hi fang. you still here/there? and if so, have you come to any epiphanies or would you still need a bit of help?

Answer 2

Yes, I am here still.

Answer 3

Just a moment please.

Answer 4

ok, are you familiar with the different ways to write a conditional statement?

Answer 5

Yes, I believe so.

Answer 6

one is if P, then Q

Answer 7

Yes

Answer 8

Another is if Q then P.
If ~P, then ~Q
etc.

Answer 9

right.

Answer 10

in the last two statements,
you wrote a conditional statement and then its contrapositive

Answer 11

for your purposes, it is important to see the form of if P, then Q in your original statement.
Be aware that a conditional statement can be written as Q, if P

Answer 12

I believe this is the form you are encountering in the problem above. Does this make sense to you?

Answer 13

In other words, the if part or hypothesis or antecedent appears last after if and the then part or the conclusion or the consequent appears in the first part of the sentence. Hence, the form Q, if P

Answer 14

I have to eat right now. I'll come back on when I am done. Feel free to write still. I'll read it when I am back.

Answer 15

i think i am done. however, feel free to message me if you need further assistance. Ok?

Answer 16

I understand. So, you believe that the correct answer is C as well?