Could someone answer and explain please

-+ Automatic Zoom v MATH 1330 Midterm Review 1. "%" is an operation on the set of integers defined by a%% = (a + b) - 2. (Here a and b elements in the set of integers, {..., -2, -1, 0, 1, 2, ...} and "+" and "-" are familiar addition and subtraction respectively.) a. Is the operation % closed? If it is closed, explain this based on the definition of closure. If it's not closed, give a counterexample (an example showing this is not true). b. Is the operations % commutative? If it is commutative, explain this based on the definition of commutativety using general (variable) input values. If it is not commutative, give a counterexample. c. Is the operations % associative? If it is associative, explain this based on the definition of associativety using general (variable) input values. If it is not associative, give a counterexample. d. Does the operation % have an identity element? If there is an identity, state the identity and explain why it is the identity based on the definition. If there is not an identity, explain why this is based on the definition