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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 1.1 - Problem 37e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 1.1 - Problem 37e

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# Construct a truth table for each of these | Ch 1.1 - 37E

ISBN: 9780073383095 37

## Solution for problem 37E Chapter 1.1

Discrete Mathematics and Its Applications | 7th Edition

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Problem 37E

Construct a truth table for each of these compound propositions.

a) $$p \rightarrow(\neg q \vee r)$$

b) $$\neg p \rightarrow(q \rightarrow r)$$

c) $$(p \rightarrow q) \vee(\neg p \rightarrow r)$$

d) $$(p \rightarrow q) \wedge(\neg p \rightarrow r)$$

e) $$(p \leftrightarrow q) \vee(\neg q \leftrightarrow r)$$

f) $$(\neg p \leftrightarrow \neg q) \leftrightarrow(q \leftrightarrow r)$$

Equation Transcription:

Text Transcription:

P right arrow (neg q vee r)

Neg p right arrow (q right arrow r)

(p right arrow q) vee (neg p right arrow r)

(p right arrow q) wedge (neg p right arrow r)

(p left right arrow q) vee  (neg q left right arrow r)

(neg p leftrightarrow q) leftrightarrow  (q leftrightarrow r)

Step-by-Step Solution:

Solution:

Step 1

In this problem we need to construct truth table for each of the given compound

propositions.

Step 2 of 2

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Construct a truth table for each of these | Ch 1.1 - 37E