please answer one right question and tell me which option is correct please write down that option so that way I am should make sure that's correct

thanks

In each of the following statements determine whether the proposed negation is correct. If it is not, write a correct negation. a. Statement: For all integers n, if n2 is even then n is even. Proposed negation: For all integers n, if n2 is even then n is not even. b. Statement: For all real numbers x1 and x2, if x1=x2 then x12=x22. Proposed negation: For all real numbers x1 and x2, if x12=x22 then x1=x2. a. The proposed negation is correct. b. The proposed negation is not correct. Correct negation: 3 real numbers x1 and x2 such that x12=x22 then x1=x2. a. The proposed negation is not correct. Correct negation: There exists an integer n such that n2 is not even and n is not even. b. The proposed negation is not correct. Correct negation: real numbers x1 and x2 such that x12=x22 then x1=x2. Correct negation: real numbers x1 and x2 such that x12=x22 then x1=x2. a. The proposed negation is not correct. Correct negation: There exists an integer n such that n2 is not even and n is not even. b. The proposed negation is not correct. Correct negation: real numbers x1 and x2 such that x12=x22 then x1=x2. a. The proposed negation is not correct. Correct negation: There exists an integer n such that n2 is even and n is not even. b. The proposed negation is not correct. Correct negation: real numbers x1 and x2 such that x12=x22 then x1=x2. a. The proposed negation is not correct. Correct negatich: There exists an integer n such that n2 is even and n is not even. b. The proposed negation is not correct. Correct negation: 3 real numbers x1 and x2 such that x12=x22 then x1=x2