Question

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

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

Answer 1

Answer: (C)

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

$\widetilde{(a\cap b)}=\tilde{a}\cup \tilde{b}$

we know this as de morgan

hence here and will change to or

negation of 2+3=5 is $2+3\ne 5$

negation of 8<10 is $8\ge 10$

hence option C