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12 June, 06:16

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.

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Answers (2)
  1. 12 June, 08:35
    0
    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."

    Answer:

    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."

    Answer:

    TRUE

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

    Answer:

    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.

    Answer:

    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.

    Answer:

    FALSE.
  2. 12 June, 09:14
    0
    Answer with explanation:

    Property of Divisibility by 3:

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

    For example →, consider number 63,

    Sum of the digit = 6 + 3=9

    9 is divisible by 3, so 63 is divisible by 3.

    →The Statement is Conditional because, if sum of the digit of the number is divisible by 3, then we can say that, the Number is Divisible by 3.

    →Yes, the statement can be proven True or False.

    Correct Statement are:

    Option 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."

    Option D: The statement can be proven true or false.
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