Question

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
• C. There exists at least one real number x such that $x^2 + 5$ is not positive
• D. There exists at least one real number x such that $x^2 + 5$ is positive

Answer 1

Answer: (C)

There exists at least one real number x such that $x^2 + 5$ is not positive

Answer 2

The correct answer is Option (C) : There exists at least one real number x such that $x^2 + 5$ is not positive