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Which is a counterexample of the following conditional:
“If a number is divisible by three, then it is odd.”

1

3

6

9

2007-11-06 13:02:51 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

The proposition is wrong.

It is not necessary that a number divisible by 3 must be odd.

There are so many even numbers which are divisible by 3.

6,12,18,24,30,36,42,48............

In fact starting from three, every alternate number divisible by 3 is even.

2007-11-06 13:14:43 · answer #1 · answered by Indian Primrose 6 · 0 1

A counterexample will satisfy the "if" part, but not the "then" part.

1 is not a counterexample because it isn't divisible by 3 (doesn't satisfy the "if" part).

3 satisfies both the "if" and "then" parts, so it's not a counterexample.

I'll let you check the last two proposed counterexamples.

2007-11-06 13:13:54 · answer #2 · answered by Ron W 7 · 0 1

ya its 6
cuz 9 divided by 3 is 3
3 div by 3 is 1
and 1 div by 3 is 1/3(odd)

2007-11-06 13:11:15 · answer #3 · answered by jo 2 · 0 0

6 is not odd

2007-11-06 13:09:44 · answer #4 · answered by Bubba Rogers 3 · 0 0

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