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A binary operation Delta is defined is defined ... - JAMB Mathematics 2007 Question

A binary operation \(\Delta\) is defined is defined by a \(\Delta\) b = a + b + 1 for any real numbers a and b. Find the inverse of the real number 7 under the operation \(\Delta\), if the identify element is -1
A
-1
B
5
C
-7
D
-9
correct option: d

a (\Delta) b = a + b + 1

a (\Delta) a-1 = e

7 (\Delta) 7-1 = 7 + 7-1

therefore 7-1 = -1 - 8

= -9

the inverse of 7 under the operation (\Delta) is -9

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