Q105 / 180 · KCET 2020 · Mathematics

The negation of the statement "For all real numbers $x$ and $y, x+y=y+x^{\prime \prime}$ is

  • A
    For all real numbers $x$ and $y, x+y \neq y+x$
  • B
    For some real numbers $x$ and $y, x+y=y+x$
  • Correct answer
    C
    For some real numbers $x$ and $y, x+y \neq y+x$
  • D
    For 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'.

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