Question

The negation of the statement "7 is greater than 8" is

• A. 7 is equal to 8.
• B. 7 is not greater than 8.
• C. 8 is less than 7.
• D. none of these.

Answer 1

The correct option is B 7 is not greater than 8.

Given statement: "7 is greater than 8"

Let p: 7 is greater than 8.

Negation of a statement conveys the opposite meaning.

Hence following can be negation of p

1. ~p: 7 is not greater than 8.

2. ~p: It is not the case that 7 is greater than 8.

3. ~p: It is false that 7 is greater than 8.

$\therefore$ From the given options, option (B) is correct.