Intermediate Test Prep: Math 8 Test (Grades 6)Understand statements using not.

Compound Statements Using Not
Lesson
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Not

In logic, a negation of a statement is formed by placing the word "not" into the statement. Using the word "not" will always have the opposite truth value. What was TRUE, will become FALSE, or what was FALSE, will become TRUE.

Logic is the study of reasoning, and it deals with statements that are either true or false. The negation of a statement is a statement that has a different truth value. That is, if a statement is true, it's negation would be false.

Examples:

Original Statement: A cat is an animal. (is true)

Negation: A cat is not an animal. (is false)

Original Statement: A triangle has 3 sides. (is true)

Negation: A triangle does not have 3 sides. (is false)

Original Statement: January has 31 days. (is true)

Negation: January does not have 31 days. (is false)

It is not true that January does not have 31 days. (is true)

Using two negations, returns the truth value of the statement to its original value. This means that two negations will undo one another.

Remember: The negation ("not") will always have the opposite truth value of the original statement. What was TRUE, will become FALSE, or what was FALSE, will become TRUE.

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