1. Conditional Statements
Lesson 2.3

2. 1. Conditional Statement – a sentence that can be written in if-then form.
ex. If it rains, then I will carry an umbrella.
p → q
Hypothesis – the phrase immediately following the “if”.
Conclusion – the phrase immediately following the “then”.
Converse – exchanging the hypothesis and conclusion of the
conditional. q → p
ex. If I carry an umbrella, then it rains.

3. Inverse – negate both the hypothesis and the conclusion.
~p → ~q
ex. If it does not rain, then I will not carry an umbrella.
Contrapositive – negate both the hypothesis and the conclusion of
the converse. ~q → ~p
ex. If I do not carry an umbrella, then it does not rain.