Question

Negation of "$2+3=5$ and $8<10$" is

• A. $2+3\ne 5$ and $<10$
• B. $2+3=5$ and $8\nless 10$
• C. $2+3\ne 5$ or $8\nless 10$
• D. None of the above

Answer 1

Answer: (C)

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

Let $p:2+3=5$
and $q=8<10$
Given proposition is $p\wedge q$
Its negatition is $\sim (p\wedge q)=\sim p\wedge \sim q$
$\therefore$ We have $2+3\ne 5$ or $8\nless 10$