## 2.3 Using Deductive Reasoning to Verify Conjectures

Deductive reasoning: the process of using logic to draw conclusions from given facts, definitions and

properties.

Law of Detachment: in deductive reasoning, if the given facts are true and you apply the then the

conclusion must be true, valid form of deductive reasoning. p-->q

Law of syllogism: if p-->q and q-->r are true statements then p-->r is a true statement.

properties.

Law of Detachment: in deductive reasoning, if the given facts are true and you apply the then the

conclusion must be true, valid form of deductive reasoning. p-->q

Law of syllogism: if p-->q and q-->r are true statements then p-->r is a true statement.