Lecture 2 Symbolic Logic Worksheet With Answers (Page 2 of 3) in pdf

Lecture 2 Symbolic Logic Worksheet With Answers Page 2

The conjunction p^q: A conjunction consists of two or more statements connected by the

word “and”.

Example 3: Using the symbolic representations

a. p: Norma Rae is a union member.

b. q: Norma Rae is a Democrat.

Express the following compound statements in symbolic form:

a. Norma Rae is a union member and she is a Democrat.

b. Norma Rae is a union member and she is not a Democrat.

Solution:

a. p^q

b. p^~q

The disjunction pvq: Statements are connected by the word “or”.

Example p: Kaitlin is a registered Republican.

q: Paki is a registered Republican.

The disjunction of these two statements would be

Kaitlin is a registered Republican or Paki is a registered Republican.

Note:

It is possible that both Kaitlin and Paki are registered Republicans. We say this “or” is

“inclusive or”.

Sometimes, one statement excludes the other. When this happens, we say this “or” is

“exclusive or”. The disjunction of the following two statements would be the case.

p: Kaitlin is a registered Republican.

q: Kaitlin is a registered Democrat.

Example 4:

Using the symbolic representations

p: Juanita is a college graduate.

q: Juanita is employed.

Express the following compound statements in words:

a. pVq

b. p^q

c. pV~q

d. ~p^q

a. Juanita is a college graduate or Juanita is employed

b. Juanita is a college graduate and Juanita is employed.

c. Juanita is a college graduate or Juanita is not employed.

d. Juanita is not a college graduate and Juanita is employed.

Lecture 2 Symbolic Logic Worksheet With Answers Page 2