2009
Mathematics
67ca00ce0c643c71d77dee1f
A binary operation ⊗ defined on the set of integers is such that m⊗n = m + n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0?
A.
-5/4
B.
-5/6
C.
0
D.
5
Correct Answer: -5/4
Explanation
m⊗n=m+n+mn Let the inverse of -5 be n. ∴−5 ⊗ n = 0 −5 + n + (−5n) = 0 n − 5n = 5 ⟹ −4n = 5 n= − 5/4
m⊗n=m+n+mn Let the inverse of -5 be n. ∴−5 ⊗ n = 0 −5 + n + (−5n) = 0 n − 5n = 5 ⟹ −4n = 5 n= − 5/4THIS WEEK's
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