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Mathematics
JAMB
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
= −4/5
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