Conditionals

There are different conditionals that can be made, the conditional, the inverse, the converse, and the contrapositive

The conditional is the most frequently used statement in the construction of an argument or in the study of mathematicians.

The inverse is a negation of the conditional.

The converse is when you switch the conclusion and the hypothesis.

The contrapositive is doing both, the inverse and the converse.


Example:
 
The Conditional: If a number is even then it is divisible by two.

The Inverse: If a number is not even then it is not divisible by two.

The Converse: If it is divisble by two then the number is even.

The Contrapositive: If it is not divisible by two then is is not an even number.


Your turn:

1) Find the inverse of the conditional " If I dont go to school then I will not learn."

2) Find the converse of the conditional "If I am not hungry then I will not eat."

3) Find the contrapositive of the conditional "If I study then I will pass."

4) Find the conditional of the inverse "If I am not sleepy then I will not go to sleep."