Question

The negation of the statement 7 is greater than 4 or 6 is less than 7 .

• A. 7 is not greater than 4 and 6 is not less than 7
• B. 7 is not greater than 4 or 6 is not less than 7
• C. 7 is greater than 4 and 6 is less than 7
• D. None of the above

Answer 1

Answer: (A)

Let $p:7$ is greater than 4 and $q:6$ is less than 7 .
Then, the given statement is disjunction $p\vee q$.
Here, $\sim p:7$ is not greater than 4 .
and $\sim q:6$ is not less than 7 .
$\therefore \sim (p\vee q):7$ is not greater than 4 and 6 is not less than 7.