Q105 / 180 · KCET 2020 · Mathematics
The negation of the statement "For all real numbers $x$ and $y, x+y=y+x^{\prime \prime}$ is
- AFor all real numbers $x$ and $y, x+y \neq y+x$
- BFor some real numbers $x$ and $y, x+y=y+x$
- Correct answerCFor some real numbers $x$ and $y, x+y \neq y+x$
- DFor some real numbers $x$ and $y, x-y=y-x$
Solution
The negation of the statement "For all real $x$ and $y, x+y=y+x^{\prime \prime}$ is For some real number $x$ and $y, x+y \neq y+x$
Hence, the correct answer is option: 'C'.