2012
Mathematics
67ca00ce0c643c71d77dee1f
The binary operation on the set of real numbers is defined by m*n = mn/2 for all m, n ∈ R. If the identity element is 2, find the inverse of -5
A.
−4/5
B.
−2/5
C.
4
D.
5
Correct Answer: −4/5
Explanation
m * n = mn/2 Identify, e = 2 Let a ∈ R, then a * a-1 = e a * a-1 = 2 -5 * a-1 = 2 −5×a-1 /2 = 2 a-1 = 2 × 2/−5 a-1 = −4/5
m * n = mn/2 Identify, e = 2 Let a ∈ R, then a * a-1 = e a * a-1 = 2 -5 * a-1 = 2 −5×a-1 /2 = 2 a-1 = 2 × 2/−5 a-1 = −4/5THIS WEEK's
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