Explanation Given: The given symbolic representations are, p: It is expensive. q: It is undesirable Approach: Consider the symbolic representation as “It is expensive” for p , and “It is undesirable To determine b) To express: The given statement q ↔ ∼ p in words. To determine c) To express: The given statement ∼ ( p ∨ q ) in words. To determine d) To express: The given statement ( p ∧ ∼ q ) ∨ ( ∼ p ∧ q ) in words.

8th Edition

ISBN: 9780357425831

Author: Johnson

Publisher: CENGAGE L

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Chapter 1.CR, Problem 16CR

To determine

a)

To express:

The given statement p→∼q in words.

To determine

b)

To express:

The given statement q↔∼p in words.

To determine

c)

To express:

The given statement ∼(p∨q) in words.

To determine

d)

To express:

The given statement (p∧∼q)∨(∼p∧q) in words.

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Chapter 1.CR, Problem 15CR

Chapter 1.CR, Problem 17CR

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a) To express: The given statement p → ∼ q in words.

Solution Summary: The author explains that the given symbolic representation states that "if something is expensive, then it is not undesirable."

Concept explainers

Videos

a)

To express:

The given statement p→∼q in words.

b)

To express:

The given statement q↔∼p in words.

c)

To express:

The given statement ∼(p∨q) in words.

d)

To express:

The given statement (p∧∼q)∨(∼p∧q) in words.

Want to see the full answer?

Chapter 1 Solutions

a) To express: The given statement p → ∼ q in words.

Solution Summary: The author explains that the given symbolic representation states that "if something is expensive, then it is not undesirable."

Concept explainers

Videos

a) To express: The given statement p→∼q in words.

b) To express: The given statement q↔∼p in words.

c) To express: The given statement ∼(p∨q) in words.

d) To express: The given statement (p∧∼q)∨(∼p∧q) in words.

Want to see the full answer?

Chapter 1 Solutions

a)

To express:

The given statement p→∼q in words.

b)

To express:

The given statement q↔∼p in words.

c)

To express:

The given statement ∼(p∨q) in words.

d)

To express:

The given statement (p∧∼q)∨(∼p∧q) in words.