Identity element
Algebra
Level
3
on the set Z of integers , if the binary operation * is defined by a*b = a+ b + 2, then find the identity element
The answer is -2.
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1 solution
The identity element b of the binary operation ∗ is defined as the integer that solves a ∗ b = a . Applying the operation's definition, we have that a + b + 2 = a ↔ b = − 2 .