1. Review Given p: Today is Thursday q: Tomorrow is Friday
Write: 1. ~p^q 2. pv~q
1. Today is not Thursday and tomorrow is Friday
2. Today is Thursday or tomorrow is not Friday.

2. Geometry Unit 9, Day 3 Mr. Zampetti
Truth Tables
Geometry
Unit 9, Day 3
Mr. Zampetti

3. Objective
To construct truth tables and determine the truth value of compound statements.

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

5. Negation Truth Table p ~p T F

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

7. Conjunction Truth Tablep q
p^q T F
Remember a conjunction is only true when BOTH are true!

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

9. Disjunction Truth Tablep q
pvq T F
Remember a disjunction is true when AT LEAST ONE are true!

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

11. p^~q p q ~q
p^~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.

13. p^~q p q ~q
p^~q

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.

15. p^~q p q ~q
p^~q T F

16. 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.

17. p^~q p q ~q
p^~q T F

18. Make a truth table for ~pvq

19. Make a truth table for ~pv~q

20. Homework
Work Packet: Truth Tables

21. Truth table for (pvq) ^ ~q