De Morgan’s Laws and

The Laws of Simplification, Conjunction, and Disjunctive

Addition

SWBAT: Use the De Morgan’s Law and the Laws of Simplification, Conjunction, and Disjunctive Addition

Warm – Up

Prove the law of Contrapositive is valid by means of a truth table.

p q ~p ~q p q ~q ~p (p q) (~q ~p)

T T F F T T T

T F F T F F T

F T T F T T T

F F T T T T T

Logically Equivalent!

Tautology is formed!

SWBAT: Use the De Morgan’s Law and the Laws of Simplification, Conjunction, and Disjunctive Addition

SWBAT: Use the De Morgan’s Law and the Laws of Simplification, Conjunction, and Disjunctive Addition

h d

t m

I will not take Gloria to the dance and I will not take

Patricia to the dance.

SWBAT: Use the De Morgan’s Law and the Laws of Simplification, Conjunction, and Disjunctive Addition

SWBAT: Use the De Morgan’s Law and the Laws of Simplification, Conjunction, and Disjunctive Addition

SWBAT: Use the De Morgan’s Law and the Laws of Simplification, Conjunction, and Disjunctive Addition

SWBAT: Use the De Morgan’s Law and the Laws of Simplification, Conjunction, and Disjunctive Addition

SWBAT: Use the De Morgan’s Law and the Laws of Simplification, Conjunction, and Disjunctive Addition

SWBAT: Use the De Morgan’s Law and the Laws of Simplification, Conjunction, and Disjunctive Addition