MATHEMATICS
JAMB 2001 - Question 16
Mathematics 2001 JAMB Past Questions - Question 16: An operation is defined on the set of real numbers by a*b =a+b+1. if the element is -1,find the inverse of the element 2 under
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Correct Answer
A
Explanation
To find the inverse of an element under the given operation, we need to find another element that, when combined with the original element using the operation, gives the identity element.Let's find the inverse of 2 under the operation a * b = a + b + 1.We want to find x such that 2 * x = x * 2 = -1 (identity element).Using the given operation, we have:2 * x = 2 + x + 1Simplifying the equation:3 + x = -1Subtracting 3 from both sides:x = -1 - 3x = -4Therefore, the inverse of 2 under the given operation is -4.
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