a binary operation on the set of real numbers e... - JAMB Mathematics 2008 Question
a binary operation on the set of real numbers excluding -1 is such that sor all m, n \(\varepsilon\) R, m \(\Delta\) n = m + n + mn. Find the identity element of the operation.
A
1
B
o
C
-\(\frac{1}{2}\)
D
-1
correct option: b
m \(\Delta\) n = m + n + mn
m \(\Delta\) e = e \(\Delta\) m = m
m \(\Delta\) e = m
m + e + me = m
e + me = m - m
e + me = 0
e(1 + m) = 0
e = \(\frac{0}{1 + m}\) = 0
m \(\Delta\) e = e \(\Delta\) m = m
m \(\Delta\) e = m
m + e + me = m
e + me = m - m
e + me = 0
e(1 + m) = 0
e = \(\frac{0}{1 + m}\) = 0
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