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For each binary operation ** defined bel...

For each binary operation `**` defined below, determine whether `**` is commutative or associative
on Q, define `a**b=ab+1`

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`a**b=ab+1`
`b**a=ba+1=a**b` `a,b in Q`
`therefore **` is commutative
Since `(1**2)**3=(1xx2+1)**3`
`3**3=3xx3+1=10` and
`1**(2**3)=1**(2xx3+1)
`=1**7=1xx7+1=8`,
`(1**2)**3 ne 1**(2**3)`
`therefore **` is not associative
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A N EXCEL PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
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