Conditional Statement = is a statement having a "if" and "then".
= it consist of an Hypothesis "if" and a Conclusion "then".
Example: "If two lines are parallel then they do not intersect".
There are 3 Related Conditionals:
1. Converse = is formed by interchanging the hypothesis and conclusion of the original statement.
Ex. "If two lines do not intersect then the lines are parallel.
2. Inverse = is formed by negating the hypothesis and conclusion of the original statement.
= the word "not" is added to both parts of the sentence.
Ex. "If two lines are not parallel then they do intersect.
*note: In algebra we also use Inverse, remember when we subtract positive we get negative and when we add both negative we get positive, well its the same thing in Logic. It is easy to remember Inverse if we know this.
3. Contrapositive = is formed by negating the hypothesis and the conclusion and interchanging the resulting negative.
Ex. "If two lines do intersect then the lines are not parallel.
In class we also talk about biconditional.
Biconditional = it is a logical operator connecting two statements if and only if, where hypothesis and conclusion. Its like they are both going on the same direction.
-more information-
Logical Relationships Between Conditional Statement
Watch Video on Conditional Statements
Conditional Statements - Converse and Biconditional
and that`s it for today, don`t forget to do the homework Exercise 49 and finishing the homework from the blog.
next scribe is Jeamille.
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