1. Truth Tables Geometry Unit 11, Lesson 6 Mrs. King

2. Definition Truth Table – a convenient way to organize the truth values of statements.

3. Negation Truth Table p~p T F

4. Truth Values Conjunctions are true ONLY when BOTH statements are true. Look at the example in your notes packet.

5. Conjunction Truth Table pqp^q TT TF FT FF Remember a conjunction is only true when BOTH are true!

6. Truth Values Disjunctions are true if AT LEAST ONE statement is true. Look at the example in your notes packet.

7. Disjunction Truth Table pqpvq TT TF FT FF Remember a disjunction is true when AT LEAST ONE are true!

8. Constructing Truth Tables GIVEN: p^~q Step 1: Make columns with headings p, q, ~q, and p^~q

9. p^~q pq~qp^~q

10. Constructing Truth Tables p^~q Step 1: Make columns with headings p, q, ~q, and p^~q Step 2: List possibilities of p and q.

11. p^~q pq~qp^~q

12. Constructing Truth Tables p^~q Step 1: Make columns with headings p, q, ~q, and p^~q Step 2: List possibilities of p and q. Step 3: Determine ~q by using q.

13. p^~q pq~qp^~q TT TF FT FF

14. Constructing Truth Tables p^~q Step 1: Make columns with headings p, q, ~q, and p^~q Step 2: List possibilities of p and q. Step 3: Determine ~q by using q. Step 4: Determine p^~q by using p and ~q.

15. p^~q pq~qp^~q TTF TFT FTF FFT

16. Make a truth table for ~pvq pq~p~pvq TT TF FT FF

17. Make a truth table for ~pv~q pq~p~q~pv~q TT TF FT FF

18. Truth table for (pvq) ^ ~q pq~qpvq (pvq)^~q TT TF FT FF