Topic Content:
- Negation of a Statement
Introduction
When thinking of Negation, think of “not possible”. Let X be a statement, we can write and say the negation of X in a number of ways:
~X = “not X”
\( \scriptsize \bar{X}\) = “bar X”
X′ = “X prime”
If X is true, then ~X is false and if X is false, then ~X is true.
For example, if the statement “I am not eighteen years old” is true, then its negation, “I am eighteen years old” will be false.
To form the negation of a statement, remove or insert the word “not” at an appropriate place. You can also write “It is false that ….” or “It is true that ….” before the statement.
Example 7.3.1:
Write the negation of the following statements:
~A: Yole is handsome
~B: X is not a prime number
~C: XYZ is an isosceles right-angled triangle
~D: \( \scriptsize x \leq 5 \; or \; x \geq 8 \)
Solution
You are viewing an excerpt of this Topic. Subscribe Now to get Full Access to ALL this Subject's Topics and Quizzes for this Term!
Click on the button "Subscribe Now" below for Full Access!
Subscribe Now
Note: If you have Already Subscribed and you are seeing this message, it means you are logged out. Please Log In using the Login Button Below to Carry on Studying!
Responses