MATH135 Lecture Notes - Ifttt, Contraposition, Subset
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MATH135 Full Course Notes
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The de nition of statement is a sentence which is either true or false. For the next following example, we cannot determine whether this is true or false since the variable is not given. Example ii: x > 0 ii: open sentence. It contains one or more variables, where each variable has values that come from a designated set called the domain of the variable, and where the sentence is either true or false. iii: implications. The most common type of statement to prove. If a is true, then b is true. **do note that implication takes form of a compound statement, which consists of more than one statement. If a, then b. where a is a statement that can be true or false, and b is a statement that can be true or false. iv: hypothesis and conclusion. You assume that a is true, and use the assumption to prove that b is true.
