2.3 Apply Deductive Reasoning

Practice Quizzes

2.1 Quiz

2.2 Quiz

2.3 Quiz

GOAL: Use deductive reasoning to form a logical argument.

Vocabulary

Deductive reasoning uses facts, definitions, accepted properties, and the laws of logic to form a logical argument.

Law of Detachment If the hypothesis of a true conditional statement is true, then the conclusion is also true.

Law of Syllogism If these statements are true,

If hypothesis A, then conclusion B.

If hypothesis B, then conclusion C.

then the following statement is true.

If hypothesis A, then conclusion C.

EXAMPLE 1: Use the Law of Detachment

Exercise for Example 1

Example 2: Use the Law of Syllogism

Exercise for Example 2

Example 3: Use Reasoning

Exercise for Example 3