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A binary operation \(\oplus\) defined on the set of real number is such that x\(\oplus\)y =...

Mathematics
JAMB 2006

A binary operation \(\oplus\) defined on the set of real number is such that x\(\oplus\)y = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6

  • A. 1/12
  • B. 10/3
  • C. 1/20
  • D. 9/5
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Correct Answer: Option D
Explanation

x ⊕ y = xy/6 = xe/6 = x
xe = 6x
e = 6
x ⊕ y = xx1/6 where x1 = 20
x x 20/6 = 6
x = 36/20
x = 9/5

There is an explanation video available below.

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