FIND WHETHER THE BINARY OPERATION IS COMMUTATIVE OR ASSOCIATIVE OR BOTH IN
=>Z:aob=a+b+1 for all that a,b belongs to Z.
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Step-by-step explanation:
Hola!
Let a,b €Z.
Now, aob=a+b+1
=b+a+1
=boa
Therefore,o is a commutative in Z.
Let a,b,c€ Z.
Now,
(aob)oc= (a+b+1)oc
= a+b+1+c+1
=a+(b+c+1)+1
=ao(b+c+1)
=ao(boc).
So that o is associative in Z.
It's true.
Thank you!
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