{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

2-1 Conditional Statements

# 2-1 Conditional Statements - obtuse.” Inverse ~p ~q An...

This preview shows pages 1–10. Sign up to view the full content.

Conditional Statements Section 2-1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Conditional Statements If-then statements are called conditional statements. The portion of the sentence following if is called the hypothesis. The part following then is called the conclusion. p q (If p, then q)
If it is an apple , then it is a fruit . Hypothesis – It is an apple. Conclusion – It is a fruit. A conditional can have a truth value of true or false. p q

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Using a Venn Diagram to illustrate a conditional Illinois Residents Chicago Residents If you live in Chicago, then you live in Illinois.
Converse q p The converse statement is formed by switching the hypothesis and conclusion. If it is an apple, then it is a fruit. Converse: If it is a fruit, then it is an apple. The converse may be true or false.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
negation – the denial of a statement Ex. “An angle is obtuse.”

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: obtuse.” Inverse ~p ~q An inverse statement can be formed by negating both the hypothesis and conclusion. If it is an apple, then it is a fruit. Inverse: If it is not an apple, then it is not a fruit. The inverse may be true or false. Contrapositive ~q ~p A contrapositive is formed by negating the hypothesis and conclusion of the converse. If it is an apple, then it is a fruit. Contrapositive : If it is not a fruit, then it is not an apple. The contrapositive of a true conditional is true and of a false conditional is false. Joke Time • Why was Cinderella thrown off the baseball team? • Because she ran away from the ball! • What did Cinderella say when the snapshots she’d taken didn’t arrive? • Someday my prints will come!...
View Full Document

{[ snackBarMessage ]}