KCET2024MathematicsMathematical Reasoning
The negation of the statement "For every real number x ; x^2+5 is positive" is
Options
- AFor every real number x ; x^2+5 is not positive.
- BFor every real number x ; x^2+5 is negative.
- CThere 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.
Correct answer
C. There exists atleast one real number x , such that x^2+5 is not positive.
Step-by-step 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.