Truth Tables for Negation, Conjunction, and Disjunction 3'3

1
Truth Tables for Negation, Conjunction, and
Disjunction 3.3
Obj 1 Use the definitions of negation,
conjunction, and disjunctions to assign a truth
value to the statement.
2
Truth Table for negation.
The negation of a statement has the opposite
truth value from the statement.
3
Truth Table for definition of Conjunction.
A conjunction, and, is true only when both
simple statements are true.
4
Use the definition of a conjunction to determine
the truth value for the statement.
3 2 5 and 3 is an even number.
q

p
5
Truth Table for definition of disjunction.
A disjunction, or, is true when one of the
simple statements is true.
6
Use the definition of a disjuntion to determine
the truth value for the statement.
3 2 5 or 3 is an even number.
q

p
7
Construct truth tables for compound statements
for p and q. In these tables, we list all
possible combinations.
Step 1 Simple statements on top.
Step 2 Expand columns for each step until
conclusion can be reached.
8
Construct a truth table for the following
II And III
9
Construct a truth table for the following
De Morgan Law
is equivalent to
10
Construct a truth table for the following
11
Construct a truth table for the following
12
Use the De Morgan Law to write an English
Statement for the given statement.
It is not true that Texas and Paris are both
States.
Texas is not a state and Paris is not a State.
13
Homework

• Pg 113
• 3 33
• Multiples of 3