Sunday, March 4, 2012

Aim: What is a mathematical statement?

A mathematical statement is a statement that can be judged to be true or false.

Ex: 17-5=12--True
The George Washington Bridge is in California--False

Negation-"Not"
Always have the opposite truth Value

And-Both statement must be true in order to be true
Or-Either statement (or both) can be true for the statement to be true

Conjunction- And,or,but

Conditional-The conditional is the most frequently used statement in the construction of an argument or in study of mathematics. (i.e geometric proofs)

 Inverse- Formed by negating the hypothesis and conclusion

4 Condional that can be formed...
The Conditional- If it is raining then it is cloudy
The Inverse-If it is not raining then it is not cloudy
The Converse-If it is cloudy then it is raining
The Contra-positive- If it is not cloudy then it is not raining

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