Negation of the statement :
\(\sqrt{5}\) is an integer or 5 is an irrational is :
\(\sqrt{5}\) is an integer or 5 is an irrational is :
Show Hint
- \(\sqrt{5}\) is not an integer and 5 is not irrational.
- \(\sqrt{5}\) is irrational or 5 is an integer.
- \(\sqrt{5}\) is an integer and 5 is irrational.
- \(\sqrt{5}\) is not an integer or 5 is not irrational.
The Correct Option is A
Solution and Explanation
By De Morgan's law, \(\sim(p \lor q) \equiv (\sim p) \land (\sim q)\).
\(\sim p\): \(\sqrt{5}\) is not an integer; \(\sim q\): 5 is not irrational.
So the negation is '\(\sqrt{5}\) is not an integer and 5 is not irrational'.
Answer: (1) \(\sqrt{5}\) is not an integer and 5 is not irrational.
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