Question

Negation of "2+3 =5 and 8 is less than 10 " is

• A. $2+3\ne 5and\text{8 is less than 10}$
• B. $2+3\ne 5or\text{8 is less than 10}$
• C. $2+3\ne 5and\text{8 is not less than 10}$
• D. $2+3\ne 5or\text{8 is not less than 10}$

Answer 1

The correct option is D

$2+3\ne 5or\text{8 is not less than 10}$

p: 2+3 =5
q: 8 is less than 10
$p\wedge q=\sim p\vee \sim q$
$\sim p\vee \sim q:2+3\ne 5or\text{8 is not less than 10}$