1 of 1 Problem 1 (1 point). Define a binary operation on the set of integers...

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1 of 1 Problem 1 (1 point). Define a binary operation on the set of integers Z by x+y=xy+x+y, x, y Z. a) Is this operation associative? b) Does Z contain an identity? c) Is Z a group with respect to this operation? d) Let us extend this operation to the set of rational numbers Q. Is (Q.) a group? 1 of 1 Problem 1 (1 point). Define a binary operation on the set of integers Z by x+y=xy+x+y, x, y Z. a) Is this operation associative? b) Does Z contain an identity? c) Is Z a group with respect to this operation? d) Let us extend this operation to the set of rational numbers Q. Is (Q.) a group?