Equivalent Statements and Variations of Conditional Statements

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Equivalent Statements and Variations of Conditional Statements 13.5 Notes Equivalent Statements and Variations of Conditional Statements * 2 class work slides to be done on a separate sheet of paper with a partner

Warm-up Use a truth table to show that p and ~(~p) are equivalent statements.

Equivalent Statements p: I attend class q: I fail the course Using a truth table show that and are equivalent. p q p or q ~q ~qp

Class Work: Equivalent Statements Show is equivalent to ~p ~q p q ~q ~p p or not q ~p ~q

Contrapositive The contrapositive of a conditional statement is a statement obtained by reversing and negating the antecedent (if part) and the consequent (then part). p  q is EQUIVALENT to it’s contrapositive Write an equivalent contrapositive for the following statement: If you live in Los Angeles, then you live in California

Converse and Inverse For the conditional statement p q Converse: antecedent and consequent are reversed Symbolic: Inverse: antecedent and consequent are negated. Write the converse and inverse for the following statement: If it’s a BMW, then it’s a car.

Classwork: Complete the table Variations Symbolic Statement English Translation Given conditional statement p q If you are 17, then you are not eligible to vote Converse Inverse Contrapositive