2008
Mathematics
67ca00ce0c643c71d77dee1f
A binary operation on the real set of numbers excluding -1 is such that for all m, n ∈ R, mΔn = m+n+mn. Find the identity element of the operation.
A.
1
B.
0
C.
-1/2
D.
-1
Correct Answer: 0
Explanation
mΔn = m+n+mn Let e be the identity element ∴mΔe = eΔm = m m+e+me = m e+me = m-m e+me = 0 e(1+m) = 0 e = 0 / (1+m) e = 0
mΔn = m+n+mn Let e be the identity element ∴mΔe = eΔm = m m+e+me = m e+me = m-m e+me = 0 e(1+m) = 0 e = 0 / (1+m) e = 0THIS WEEK's
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