A binary operation, \(\Delta\), is defined on the set of real numbers by \(a \Delta...
FURTHER MATHEMATICS
WAEC 2012
A binary operation, \(\Delta\), is defined on the set of real numbers by \(a \Delta b = a + b + 4\). Find the identity element.
- A. 4
- B. 2
- C. \(\frac{1}{4}\)
- D. -4
Correct Answer: D. -4
Explanation
\(a \Delta b = a + b + 4\)
\(a \Delta e = a + e + 4 = a\)
\(e = a - a - 4 = -4\)
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