what is a counterexample for the conjecture?
conjecture:Any number that is divisible by 2 is also divisible by 4.
A.32
B.12
C.40
D.18
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OpenStudy (anonymous):
can u help me
OpenStudy (irishboy123):
the counter example involves finding a number that can be divided* by 2 but not 4.
work through each number and you will find one.
*everything is divisible by everything. the missing language here is that the "answer" must be a whole number.
OpenStudy (anonymous):
is it 12
OpenStudy (anonymous):
letter b
jimthompson5910 (jim_thompson5910):
is 12 divisible by 4?
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OpenStudy (anonymous):
wait oh so then how do u no which could be divisibl by 4?
jimthompson5910 (jim_thompson5910):
you're looking for a number that's divisible by 2, but not 4
you want to disprove the claim that "Any number that is divisible by 2 is also divisible by 4"
OpenStudy (irishboy123):
dude
12 = 4*3 = 2 *6
look for a number that 2 can go into but not 4.
OpenStudy (anonymous):
ohh 18
OpenStudy (anonymous):
am i right
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jimthompson5910 (jim_thompson5910):
correct, 18 is divisible by 2 (ie 2 is a factor of 18)
but not divisible by 4 (ie 4 is not a factor of 18)