Given that binary operation ‘*’ is valid for set ‘I + ’ of all positive integers defined by a*b = a + b for all a,b∈I +.
Let us assume a∈I + and the identity element that we need to compute be e∈I +.
We know that he Identity property is defined as follows:
⇒ a*e = e*a = a
⇒ a + e = a
⇒ e = a – a
⇒ e = 0
∴ The required Identity element w.r.t * is 0.
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