Aim: How do we solve logic problems using conditionals?

Conditional- asserting that the existence or occurrence of one thing or event depends on the existence or occurrence of another thing or event; hypothetical.
an example of a logical conditional in math would be: If there is a fire, than there would be smoke.


If you want to solve problems such as what is the contrapositive of this statement you would have to change certain parts of the sentence.
Contrapositive- the inference drawn from a statement and negating the terms and changing the order.


The contrapositive of the conditional example would be: If there is no smoke, than there is no fire.


Find the contrapositive of this statement: If the television is on than electricity is being used.