The binary operation on the set of real numbers... - JAMB Mathematics 2012 Question
The binary operation on the set of real numbers is defined by m*n = (\frac{mn}{2}) for all m, n (\in) R. If the identity element is 2, find the inverse of -5
A
\(-\frac{4}{5}\)
B
\(-\frac{2}{5}\)
C
4
D
5
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Correct Option: A
m (\propto) n = (\frac{mn}{2} - a)
Identify = e = 2
a (\propto) a-1 = e
a (\propto) a-1 = 2
-5 (\propto) a-1 = 2
(\frac{-5 \times a^{-1}}{2} = 2)
(a^{-1} = \frac{2 \times 2}{-5})
(a^{-1} = -\frac{4}{5})
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