2006
Mathematics
67ca00ce0c643c71d77dee1f
A binary operation θ defined on the set of real number is such that xθy = 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
Correct Answer: 9/5
Explanation
X ⊕ y = xy/6 = xe/6 = x Xe = 6x e = 6 X ⊕ y = xx1/6 where x1 = 20 Xx20/6 = 6 X = 36/20 X = 9/5
X ⊕ y = xy/6 = xe/6 = x Xe = 6x e = 6 X ⊕ y = xx1/6 where x1 = 20 Xx20/6 = 6 X = 36/20 X = 9/5THIS WEEK's
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