Page 174 - Math Course 2 (Book 2)

Truth Tables and Logic

MO. 12 - L2b

Constructing Truth Tables

Vocabulary A-Z

Let us learn some vocabulary

truth table Tap 13 Jazz
A convenient method for organizing the truth 28 43
values of statements is to use a truth table.
9

Conjunction Disjunction 17 25
p q p ⋀ q p q p V q
T T T T T T Ballet
T F F T F T 29
F T F F T T
F F F F F F How many students are enrolled in all three classes?

Negation The students that are enrolled in all three classes are
p ~p represented by the intersection of all three sets.

T F
F T There are 9 students enrolled in
Answer
all three classes.

Let’s Begin How many students are enrolled in tap or ballet?

The students that are enrolled in tap or ballet are
represented by the union of these two sets.
Use Venn Diagrams

Example There are 28 + 13 + 9 + 17 + 25
Answer + 29 or 121 students enrolled in
tap or ballet.
DANCING
The Venn diagram shows the number of students How many students are enrolled in jazz and ballet
enrolled in Monique’s Dance School for tap, jazz, but not tap?
and ballet classes.
The students that are enrolled in jazz and ballet and
not tap are represented by the intersection of jazz
and ballet minus any students enrolled in tap.

There are 25 + 9 – 9 or 25
Answer students enrolled in jazz and
ballet and not tap.

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