Question

The negation of the statement "For all real numbers x and y, x + y = y + x" is

• A. For all real numbers x and y, x + y $\ne$ y + x
• B. For some real numbers x and y, x+y = y+x
• C. For some real number x and y, x + y $\ne$ y + x
• D. for some real numbers x and y, x-y=y-x

Answer 1

Answer: (C)

For some real number x and y, x + y $\ne$ y + x

Answer 2

Negation: For some real numbers $x$ and $y, x + y ? y + x$.