Answer: Write the statements in symbolic form using the

Chapter 2, Problem 8E

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QUESTION:

Write the statements in 6-9 in symbolic form using the symbols \(\sim, \vee\), and \(\wedge\) and the indicated letters to represent component statements.

Let h = "John is healthy," w = "John is wealthy," and s = "John is wise."

a. John is healthy and wealthy but not wise.

b. John is not wealthy but he is healthy and wise.

c. John is neither healthy, wealthy, nor wise.

d. John is neither wealthy nor wise, but he is healthy.

e. John is wealthy, but he is not both healthy and wise.

Text Transcription:

sim, vee

wedge

Questions & Answers

QUESTION:

Write the statements in 6-9 in symbolic form using the symbols \(\sim, \vee\), and \(\wedge\) and the indicated letters to represent component statements.

Let h = "John is healthy," w = "John is wealthy," and s = "John is wise."

a. John is healthy and wealthy but not wise.

b. John is not wealthy but he is healthy and wise.

c. John is neither healthy, wealthy, nor wise.

d. John is neither wealthy nor wise, but he is healthy.

e. John is wealthy, but he is not both healthy and wise.

Text Transcription:

sim, vee

wedge

ANSWER:

Solution

Step 1:

We have to write the given statement in symbolic form using indicated letters to represent component statements and the symbols .

Here denotes “john is healthy” and denotes “john is wealthy” and denotes “john is wise”

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