Asked by Jack
Meenah made a conjecture that any even number will be divisible by 4. Test her conjecture. Explain whether it is correct or incorrect.
Answers
Answered by
Reiny
Meenah conjecture is either true or false
Assume that it is true, that is, all even numbers are divisible by 4
test some
8/4 = 2 , ok
24/4 = 6
10/4 = 2.5, not exact
Since we assumed it to be true and I found a case which was false, my assumption must have been false.
Since the conjecture is either true OR false, and my assumption that it was true showed up to be wrong, it must be false.
(All we really needed was one single exception)
Assume that it is true, that is, all even numbers are divisible by 4
test some
8/4 = 2 , ok
24/4 = 6
10/4 = 2.5, not exact
Since we assumed it to be true and I found a case which was false, my assumption must have been false.
Since the conjecture is either true OR false, and my assumption that it was true showed up to be wrong, it must be false.
(All we really needed was one single exception)
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