A binary operation, \(\Delta\), is defined on the set of real numbers by \(a \Delta b = a + b + 4\). Find the identity element.
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Correct Answer: Option D
Explanation:
\(a \Delta b = a + b + 4\)
\(a \Delta e = a + e + 4 = a\)
\(e = a - a - 4 = -4\)
\(a \Delta b = a + b + 4\)
\(a \Delta e = a + e + 4 = a\)
\(e = a - a - 4 = -4\)