passpadi

2001

Mathematics

JAMB

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.

0

C.

-2

D.

-4

Correct Answer: -4

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

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
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