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Determine whether the set forms a group with respect to the given operation

/in /by

Question

Determine whether the set forms a group with respect to the given operation. (You

may assume the operation is associative.) If the set does not form a group, determine which properties fail. (Select all that apply.)

{1, 2, 3, 4}; multiplication modulo 5

  • The set forms a group.
  • The closure property fails.
  • The associative property fails.
  • The identity property fails.

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