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On the set Q of all rational numbers an ...

On the set Q of all rational numbers an operation * is defined by `a*b = 1 + ab`. Show that * is a binary operation on Q.

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operation * is defined by `a*b = 1 + ab`
Closure property:
`A ne phi `
`a*b in A AA ab in A `
`(Q,*)`
`a*b=1+ab`
let `a,b in Q`
`a*b`
`=1+ab in Q`
so, It is a binary operation.
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