Q74 / 180 · KCET 2024 · Mathematics
The negation of the statement
"For every real number $x ; x^2+5$ is positive" is
- AFor every real number $x ; x^2+5$ is not positive.
- BFor every real number $x ; x^2+5$ is negative.
- Correct answerCThere exists atleast one real number $x$, such that $x^2+5$ is not positive.
- DThere 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'.