Conditional Statements

1. Conditional Statements A conditional statement is in the form If …….. Then……. The HYPOTHESIS is the condition of the statement and appears after the IF. The CONCLUSION is the result and occurs after the THEN.

2. When it rains, it pours. • Written in correct conditional form: • If it rains, then it pours.

3. When it rains, it pours • If it rains, then it pours. • Identify the Hypothesis and Conclusion. • Hypothesis : It rains • Conclusion: it Pours • Note: Do NOT include the IF and THEN when identifying

4. Regular conditional p  q • Converse: q  p • Switch hypothesis and conclusion • New symbol ~ means Not (in logic) • Inverse ~ p  ~ q • Negate the hypothesis and conclusion • Contrapositive ~ q  ~ p • Switch and negate both

5. If it rains, it pours. • Regular conditional:

6. If it rains, it pours. • Regular conditional: • If it rains, then it pours. • Converse:

7. If it rains, it pours • Regular conditional: • If it rains, then it pours. • Converse: • If it pours, then it rains.

8. If it rains, then it pours. • To negate a phrase, add “NOT”. • You may also need to modify the verb, so that it is good grammar. • Inverse: • If it doesn’t rain, then it doesn’t pour.

9. If it rains, then it pours. • Contrapositive: (Switch and negate)

10. If it rains, then it pours. • Contrapositive: (Switch and negate) • If it doesn’t pour, then it doesn’t rain.

11. If you are rushed, you won’t do well • Conditional: If you are rushed, then you won’t do well. • Converse: If you don’t do well, then you are rushed. • Inverse:If you aren’t rushed, then you will do well. • Contrapositive: If you do well, then you aren’t rushed.

12. Changing a statement to a conditional statement • Just about any statement can be changed into the “If….. then…..” form! • School closes when it snows. • If it snows, then school closes. • All new cars are expensive! • If it’s a new car, then it’s expensive. • All people have feelings. • If he’s a person, then he has feelings.