Negations

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Intros

Lessons

Negations Overview:
Definition of Negations and Examples

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Examples

Lessons

Negation of the Statement
Write the negation of each statement:
1. The sun rises from the east.
2. $1+1=0$
3. January is the first month of the year.
4. The Eiffel Tower is in Japan.
5. A square has 7 sides.
Truth Value of a Negation
Write the negation of each statement, and determine the truth value:
1. A snake is a reptile.
2. The measure of an acute angle is greater than 90°.
3. $5+5+5=555$
4. $\frac{5}{6}$ is a fraction.
The symbols represent the following statements
$p$ : A pentagon has 5 sides
$q$ : United States is a city
$r$ : Chairs have four legs

Write a complete sentence in words to show what the symbols means, and find the truth value:
i) ~ $p$ $p$
ii) ~ $q$ $q$
iii) ~ $r$ $r$
Double Negation
Determine the truth value of the statement. Negate it twice, write it in a complete sentence, and determine the new truth value:
1. A quarter of an hour is 15 minutes
2. There is caffeine in coffee.
3. The ocean has salt water.

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