Page 171 - Math Course 2 (Book 2)

Truth Tables and Logic
Mo. 12

Lesson 2 compound statement

Two or more statements can be joined to form a
compound statement. The two statements can be
joined by the word and.
KEY CONCEPTS:
p: Frankfort is a city in Kentucky.
1. Determine truth values of conjunctions and
disjunctions. q: Frankfort is the capital of Kentucky.
2. Construct truth tables.
p and q: Frankfort is a city in Kentucky.

MO. 12 - L2a and Frankfort is the capital of Kentucky.

Truth Values of Conjunctions conjunction
and Disjunctions a compound statement formed by joining two or
more statements with the word and (^).

Vocabulary A-Z Conjunction

Let us learn some vocabulary p q p ^ q

T T T
statement T F F
is any sentence that is either true or false, but not F T F
both. Statements are often represented using a
letter such as p or q. F F F
A conjunction is true only when both statements
truth value are true.

The truth or falsity of a statement is called its truth
value. disjunction

a compound statement formed by joining two or
p: Frankfort is a city in Kentucky more statements with the word or (v).

This statement is true.
Disjunction

p q p q
V
T T T
T F T

F T T
negation F F F
a statement has the opposite meaning as well as A disjunction is false only when both statements
an opposite truth value. are false.

not p or ~p: Frankfort is a not city in Kentucky

This statement is false.
Negation

p ~p
T F

F T
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