Q 1: Find the identity element for the operation a*b = a+b+1, a, b € I Answer:

Q 2: Find the identity element a*b = a+b+ab, a, b € I Answer:

Q 3: Is a*b = a^{2} + b^{2} on Q commutative? Write your answer as Y or N. Answer:

Q 4: Find if the binary operation a*b = (a+b)/2 on Q associative? Write your answer as Y or N. Answer:

Q 5: For I = (2,1,0,1,2) and the binary operation addition is defined on I, find the inverse of 1? Answer:

Q 6: Check if a*b = a+ab is associative. Write as Y or N Answer:

Q 7: Check if a*b = ab/4 is associative. Write your answer as Y or N. Answer:

Q 8: Check if a*b = ab is associative. Wrie your answer as y or N. Answer:

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Question 10: This question is available to subscribers only!

