Conditional Statements

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Conditional Statements Lesson 2.3

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.

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.