Q.8In the group (Z, *) of all integers, where a * b = a + b + 1 for a, b Z, the inverse of – 2 is
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Answer:
0 is the inverse of - 2
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Step-by-step explanation:
ANSWER ::
Clearly - 1 is the identity element
Let x be the inverse of - 2
Then
-2* x = - 1
-2+x+1 = - 1
x = 0
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