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High School Mathematics - 2
5.3 Binary Operations - Review
: Is a*b = a+b, a, b € 1 is a binary operation? Write your answer as Y or N.
: Find if the binary operation a*b = (a+b)/2 on Q associative? Write your answer as Y or N.
: Is a*b = a
on Q commutative? Write your answer as Y or N.
: Check if a*b = a-b is associative. Wrie your answer as y or N.
: Find the identity element a*b = a+b+ab, a, b € I
: Check if a*b = a+ab is associative. Write as Y or N
: For I = (-2,-1,0,1,2) and the binary operation addition is defined on I, find the inverse of -1?
: Find the identity element for the operation a*b = a+b+1, a, b € I
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