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An operation * is defined on the set of real numbers by a*b = a...

Mathematics
JAMB 2001

An operation * is defined on the set of real numbers by a*b = a + b + 1. If the identity elements is -1, find the inverse of the element 2 under *.
  • A. 4
  • B. zero
  • C. -2
  • D. -4
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Correct Answer: Option D
Explanation
By definition a*b = a + b + 1.
Let the inverse of the element 2 be x,

Therefore 2*x = -1
i.e. 2 + x + 1 = -1
3 + x = -1
x = -1 - 3
x = -4

There is an explanation video available below.


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Explanation Video

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