theylovelillexx6667 theylovelillexx6667
  • 17-09-2021
  • Mathematics
contestada

Write the converse of the following statement."If a number is divisible by six, then it is divisible by three."

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LammettHash
LammettHash LammettHash
  • 20-09-2021

The converse of the implication a ⇒ b is b ⇒ a. That is, the converse of

"If a, then b"

has the predicate and conclusion swapped, as in

"If b, then a"

So the converse of

"If a number is divisible by six, then it is divisible by three."

would be

"If a number is divisible by three, then it is divisible by six."

(Of course, this statement is not true; consider the number 3, which is not divisible by 6.)

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