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On the set Z of integers, if the bina...

On the set `Z` of integers, if the binary operation * is defined by `a*b=a+b+2` , then find the identity element.

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To find the identity element for the binary operation defined on the set of integers \( Z \) by \( a * b = a + b + 2 \), we need to identify an element \( E \) such that for every integer \( A \): \[ A * E = A \] ### Step-by-Step Solution: ...
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
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  15. Let X be a non-empty set and let * be a binary operation on P\ (X) ...

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  16. Let X be a non-empty set and let * be a binary operation on P\ (X) ...

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  18. Let A=QxxQ and let * be a binary operation on A defined by (a ,\ b)...

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