Q74 / 180 · KCET 2024 · Mathematics

The negation of the statement "For every real number $x ; x^2+5$ is positive" is

  • A
    For every real number $x ; x^2+5$ is not positive.
  • B
    For every real number $x ; x^2+5$ is negative.
  • Correct answer
    C
    There exists atleast one real number $x$, such that $x^2+5$ is not positive.
  • D
    There exists atleast one real number $x$, such that $x^2+5$ is positive.

Solution

The negation of statement "For every real number $x ; x^2+5$ is positive" is there exists at least one real number $x$ such that $x^2+5$ is not positive.

Hence, the correct answer is option: 'C'.

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