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

13.2 Review (symbols)

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

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)

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

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

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

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

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

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

Determine Truth Value of a Compound Statement

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.