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JAMB Mathematics 2008 Question 22

Question 22

Binary Operations

A binary operation on the set of real numbers excluding −1 is such that for all m, n ∈ R, m Δ n = m + n + mn. Find the identity element of the operation.

  1. A.1
  2. B.0
  3. C.−½
  4. D.−1
Show the answer and explanation

Answer: B (0)

Explanation

m Δ e = m gives m + e + me = m, so e(1 + m) = 0 and e = 0.