In this topic, you will learn how to apply Truth Tables to Conditional and Bi-Conditional Statements. But first, you will need to understand what they are. Click on the videos to find out more.
Estimated Duration: 20 minutes
Many statements, called Conditional Statements (denoted by p→q ) are of the form “if p then q”. p is called hypothesis; q is called the conclusion. Click on the video below to find out more.
https://www.youtube.com/watch?v=F3544ZyO-eU
Conditional Statements: if p then q
Conditional Statement p->q
The Truth Table for Conditional Statement is shown on the left.
A Bi-Conditional Statement is of the form "p if and only if q”, and is denoted by p↔ q.
https://www.youtube.com/watch?v=oHijygNdx_8
Biconditional Statements | “if and only if”
The Bi-Conditional Statement p <-> q means both p->q and q->p.
Example: Consider the statements
p->q : If I study hard, then I will pass
AND
q->p: If I passed, then I studied hard.
