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OpenStudy (anonymous):
Decide whether or not the modulo system forms a group.{1, 2, 3, 4, 5}; multiplication modulo 6 A. Group B. Not a group
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OpenStudy (anonymous):
the operation is multiplication right? not addition
OpenStudy (anonymous):
then it fails to be a group and the reason is, not every element has an inverse
OpenStudy (anonymous):
the identity under multiplication is 1 and you cannot for example solve \[2\times a=1\] for any element of the group. try it
OpenStudy (anonymous):
is it clear why that doesn't work?
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