Unit One Lesson Three
Unit One Lesson Three covered different the different types of conditional statements. There are five different types of conditional statements. There are the conditional statements, converse statements, inverse statements, contrapositive statements, and biconditional statements. Although these statements are all different, they are composed of the same parts. They all contain a hypothesis and a conclusion. The hypothesis is written as the p part of the statement and follows the word if. The conclusion is written as the q of the statement and follows the word then. In inverse and contrapositive statements you will need to use if not p and then not q. These phrases are written as ~p and ~q. Now that you know what p and q stand for, you can make conditional statements. Here is a list of the different types of conditional statements.
Each of these statements have a truth value of T (true) or F (false). Usually, the truth value of the conditional and contrapositive statements are the same and the truth values of the converse and inverse statement are the same.
- Conditional Statement: if p, then q
- Converse Statement: if q, then p
- Inverse Statement: if not p, then not q
- Contrapositive Statement: if not q, then not p
- Biconditional Statement: p if and only if q
Each of these statements have a truth value of T (true) or F (false). Usually, the truth value of the conditional and contrapositive statements are the same and the truth values of the converse and inverse statement are the same.