Objectives
To recognize conditional statements and their parts
To write converses, inverses, and contrapositives of conditionals
The study of if-then statements and their truth values is a foundation of reasoning.
Essential Understanding You can describe some mathematical relationships using a variety of if-then statements.
Definition | Symbols | Diagram |
---|---|---|
A conditional is an if-then statement. The hypothesis is the part p following if. The conclusion is the part q following then. |
Read as “if p then q” or “p implies q.” |
The Venn diagram above illustrates how the set of things that satisfy the hypothesis lies inside the set of things that satisfy the conclusion.