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Try reviewing these fundamentals first

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Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Intro Lesson3:21
- Lesson: 1a3:12
- Lesson: 1b2:19
- Lesson: 1c1:29
- Lesson: 1d0:29
- Lesson: 1e1:33
- Lesson: 2a2:09
- Lesson: 2b2:40
- Lesson: 2c1:55
- Lesson: 2d2:05
- Lesson: 37:15
- Lesson: 4a6:34
- Lesson: 4b3:42
- Lesson: 4c4:04

The negation of a statement is the opposite of a statement. We denote it with either "not" or the symbol ~. The negation gives the opposite of the truth value. For example,

$p$: A square is a rectangle

~ $p$: A square is not a rectangle $p$ is true, so ~$p$ is false.

$p$: A square is a rectangle

~ $p$: A square is not a rectangle $p$ is true, so ~$p$ is false.

- IntroductionNegations Overview:a)Definition of Negations and Examples
- 1.
**Negation of the Statement**Write the negation of each statement:

a)The sun rises from the east.b)$1+1=0$c)January is the first month of the year.d)The Eiffel Tower is in Japan.e)A square has 7 sides. - 2.
**Truth Value of a Negation**Write the negation of each statement, and determine the truth value:

a)A snake is a reptile.b)The measure of an acute angle is greater than 90°.c)$5+5+5=555$d)$\frac{5}{6}$ is a fraction. - 3.The symbols represent the following statements
$p$: A pentagon has 5 sides

$q$: United States is a city

$r$: Chairs have four legsWrite a complete sentence in words to show what the symbols means, and find the truth value:

i) ~$p$

ii) ~$q$

iii) ~$r$ - 4.
**Double Negation**Determine the truth value of the statement. Negate it twice, write it in a complete sentence, and determine the new truth value:

a)A quarter of an hour is 15 minutesb)There is caffeine in coffee.c)The ocean has salt water.