conditional statements

conditional statement

• conditional statement ; if p , then q .

  • p = hypothesis

  • q = conclusion

• ex .

  • reg. statement ; when i eat breakfast, i am happy .

  • con. statement ; if i eat breakfast , then i am happy .

. ^ hypothesis ^ conclusion

negation

• negation ; opposite . ( ~ , ~p / ~q )

converse

• the converse of a statement switches the statement around .

• if q , then p .

• ex.

  • if i am happy , then i eat breakfast .

inverse

• the inverse negates both p and q .

• if ~p , then ~q

• ex.

  • if i do not eat breakfast , then i am not happy .

contrapositive

• the contra-positive is both swapped and negated .

• if ~q , then ~p .

• ex.

  • if i am not happy , then i did not eat breakfast .