For each binary operation * defined below, determine whether * is commutative or associative. On R - -1 , define a*b= a b+1

For commutativity: a*b= a b+1 and b*a= b a+1 a*b *a For associativity: a*(b*c)=a* ( b c+1 )= a a c+1 +1 = a(c + a) b + c+1 Also, (a*b)*c= ( a b+1 )*c= a/b+1 c+1/c = a (b+1)(c+1) a * (b * c) (a * b)* c Therefore, the operation * is neither commutative nor associative.

For each binary operation * defined below, determine whether * is…

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fog
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