Section 2-2: Conditional Statements. Conditional A statement that can be written in If-then form symbol: If p —>, then q.

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Presentation transcript:

Section 2-2: Conditional Statements

Conditional A statement that can be written in If-then form symbol: If p —>, then q

Converse The statement formed by exchanging the hypothesis and conclusion of the conditional statement symbol: q —> p

Inverse The statement formed by negating the hypothesis and conclusion of the conditional statement symbol: ~p —> ~q

Contrapositive The statement formed by exchanging AND negating the hypothesis and conclusion of the conditional statement symbol: ~q —> ~p

If it rains, then I will get wet. 1. If I don’t get wet, then it’s not raining. ____ 2. If I get wet, then it’s raining. ____ 3. If it’s not raining, then I don’t get wet. ____ A) converse B) inverseC) contrapositive

Truth Value Determine the truth of each statement. If the statement is false, provide a counterexample. 1. If I don’t get wet, then it’s not raining. 2. If I get wet, then it’s raining. 3. If it’s not raining, then I don’t get wet.

Section 2-3: Deductive Reasoning

Deductive Reasoning facts, definitions, and properties. Using logic to draw conclusions based on

Law of Syllogism If p—> qand q—> r are true statements, then p—> r is a true statement.

Section 2-4: Biconditional Statements

Biconditional Statements can be written in the form “p if and only if q”, are reversible contain the conditional AND converse statements “if and only if ” shorthand: iff which means “if p, then q” and “if q, then p”