Determine whether * on `N` defined by `a*b=a+b-2` for all `a ,\ b in N` define a binary operation on the given set or not:

Explanation

Given that ‘∗’ is an operation that is valid in the Natural Numbers ‘`N`’ and it is defined as given:


`⇒a∗b=a+b–2`, where `a,b∈N`


since` a∈N` and` b∈N`,



According to the problem it is given that on applying the operation ‘∗’ for two given natural numbers it gives a natural number as a result of the operation,

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