A: a mathematical statement is a statement that can be judged by truth or false.
For example :
1) Is a square a triangle?
this is a false mathematical statement because it is a question .
2) 2 is more than 1
this is a true mathematical statement because 2 is bigger than one.
within the mathematical statements there are certain types of categories which one classifies the mathematical statement.
- NEGATION
A negation is when writing a not in the sentence.For example :
2 is not more than one .
or
30 does not equal to 30
- CONJUNCTION & DISJUNCTION
A conjunction and disjunction is the adding of the word "and" and "or" in the mathematical sentence.AND : To use an "and" in the statement both statements should be true.
Ex: I tried to study and then my mother ate my homework.
OR: Either one or both statements can be truth or false.
ex: I couldn't do my hw or read my book.
- CONDITIONALS:
Ex: If i ate a peanut butter sandwich then, i was hungry.
- Inverse: is adding the "not "to both statements.
Conditional : If i ate a peanut butter sandwich then i was hungry
Ex: If i did not eat a peanut butter then i was not hungry
- Converse :Is switching both the statements
Conditional: If i ate a peanut butter sandwich then i was hungry
Ex: If i was hungry then i ate a peanut butter sandwhich
- Contrapositive: In a contrapositive positive statement we both negate and use converse.
Conditional: If i ate a peanut butter sandwich then i was hungry
Ex: If i was not hungry, then i didnot eat a peanut butter sandwhich
TRY IT :
Conditional : If i had a dog, then i wouldn't cry. convert this statement into a contrapositive.
sources used:
dog image as well as some information cam from :http://regentsprep.org/
information for some of the converse and other came from http://www.mathwarehouse.com/math-statements/logic-and-truth-values.php#conjunction
my brain and notebook too :)
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