
                ### Instruction: help me answer this question Are the following pair of statements a negation of each other, give reasons for the answer.
(i) x + y = y + x is true for every real number x and y.
(ii) There exists real numbers x and y for which x + y = y + x., think step by step
                ### Assistant:  , The answer is The negation of the (i) statement is: `There exists real numbers x and y for which x + y ≠ y + x.` This statement is not the same as the (ii) statement, hence the given statements are not a negation of each other.
