Question

The negation of the statement "$2+3=5$" and "$8<10$" is

• A. $2+3\ne 5$ and $8\nless 10$
• B. $2+3$\neq 5 or $8>10$
• C. $2+3\ne 5$ or $810$
• D. None of these

Answer 1

Answer: (A)

$2+3\ne 5$ and $8\nless 10$

Take $p:2+3=5$ and $q:8<10$

So the given conjunction is $p\wedge q$

Now $\sim p:2+3\ne 5$ and $\sim q:8\nless 10$

Now Negation of the given conjunction $p\wedge q$ is $\sim (p\wedge q)$

$\sim (p\wedge q):2+3\ne 5$ or $8\nless 10$