Z is set of integers, <Z,*> forms group if * in :
Pick an option to check yourself, or open the answer below.
Show answer & explanation
Correct answer: A. *(a, b)=a+b+2
Explanation
a * b = a + b + 2 is closed and associative on Z, has identity −2 (a + (−2) + 2 = a), and each a has inverse −a − 4. 2a + b is not associative, (a + b)/2 is not closed on Z, and a² + b has no identity.
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