1. Truth Tables for Negation, Conjunction, and Disjunction
13.3 Notes
Truth Tables for Negation, Conjunction, and Disjunction

2. 13.2 Review (symbols)

3. Warm-up:
p: She is wealthy q: She is happy With the following symbolic statements in words: 1) 2) 3)

4. Warm-up (continued)
p: The plant is fertilized q: The plant is not watered r: The plant wilts Write the symbolic statements in words. 1) 2)

5. Conjunction (“and”)
p: I visited London. q: I visited Paris Determining the Truth Value p q
p and q T

6. Disjunction (“or”)
p: I visited London. q: I visited Paris Determining the Truth Value p q
p or q T

7. You try!
p: 10 > 4 Determine the truth value for each statement q: 3 < 5 a) b) c) d)

8. Constructing Truth Tables
Construct a truth table for
to detemine when the statement is true and when its false. p q
p or q
not (p or q) T F
Does our truth table make sense?
p: Harvard is a college
q: Yale is a college

9. Your turn!
Construct a truth table for to determine when the statement is true and when the statement is false.

10. Construct a Truth Table with 8 cases
Construct a truth table for the following statement.
“I study hard and ace the final, or I fail the course.”
B) Suppose that you study hard, you do not ace the final, and you fail the course. Under these conditions, is the compound statement in part (a) true or false? p q r
p and q
(p and q) or r t f

11. Determine Truth Value of a Compound Statement

12. Continued…
Assign letters p,q, and r to statements, then write the following compund statement in symbolic form.
Substitute truth values from the graph to obtain a truth value.