Question on: JAMB Mathematics - 2007
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
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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
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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