Galen wrote the statement "if the sum of the digits in a number is divisible by 3, the original number is divisible by 3." which statements are true regarding his work? check all that apply. a: the hypothesis of the statement is "if the sum of the digits in a number is divisible by 3." b: an equivalent statement is "if the sum of the digits in a number is divisible by 3, then the original number is divisible by 3." c: the statement is not a conditional statement because it does not include both an "if" and a "then" clause. d: the statement can be proven true or false. e: the conclusion of the statement is written before the hypothesis.

We have been given a statement written by Galen which is

"If the sum of the digits in a number is divisible by 3, the original number is divisible by 3."

Now we need to select which statements are true regarding his work.

A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."

TRUE

B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."

TRUE

C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.

FALSE, I agree that it has not used the word "then" but meaning of the statement is in the form of if then clause.

D:The statement can be proven true or false.

TRUE, As you can take some example of any random number to test that.

E:The conclusion of the statement is written before the hypothesis.

FALSE.

correct answer:

a + bi