** Please Answer #14 **

In each of 11-14 determine whether the proposed negation is Statement: The sum of any two irrational numbers Proposed negation: The sum of any two irrational numbers Statement: The product of any irrational number correct. If it is not, write a correct negation is irrational. is rational. 12. and any rational number is irrational. Proposed negation: The product of any irrational number Statement: For all integers n, if n2 is even then n is Proposed negation: For all integers n, if n is even then n is Statement: For all real numbers x and xz. if Proposed negation: For al real numbers x and x2, if and any rational number is rational. 13. not even. 14. xf-r then xi = X2