Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 2, Problem 13E

To determine

Construct a truth table and determine if the two statements are logically equivalent.

Expert Solution & Answer

Answer to Problem 13E

The two statements are logically equivalent.

Explanation of Solution

Given information :

The two given statements are p∨q and q∨p .

Calculation :

The disjunction A∨B is true whenever at least one of the statements is true.

The truth table of p∨q is drawn below:

pqp∨qTTTTFTFTTFFF

Also, the truth table of q∨p is drawn below:

pqq∨pTTTTFTFTTFFF

From the above the two truth table it is observed that both the statements are logically equivalent.

Hence,

The two statements are logically equivalent.

Chapter 2, Problem 12E

Chapter 2, Problem 14E

Chapter 2 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 2.1 - Prob. 1OE Ch. 2.1 - Prob. 2OE Ch. 2.1 - Prob. 3OE Ch. 2.1 - Prob. 4OE Ch. 2.1 - Prob. 5OE Ch. 2.1 - Prob. 6OE Ch. 2.1 - Prob. 7OE Ch. 2.1 - Prob. 8OE Ch. 2.1 - Prob. 9OE Ch. 2.1 - Prob. 10OE

Ch. 2.1 - Prob. 11OE Ch. 2.1 - Prob. 12OE Ch. 2.1 - Prob. 13OE Ch. 2.1 - Prob. 14OE Ch. 2.1 - Prob. 15OE Ch. 2.1 - Prob. 16OE Ch. 2.1 - Prob. 17OE Ch. 2.1 - Prob. 1WE Ch. 2.1 - Prob. 2WE Ch. 2.1 - Prob. 3WE Ch. 2.1 - Prob. 4WE Ch. 2.1 - Prob. 5WE Ch. 2.1 - Prob. 6WE Ch. 2.1 - Prob. 7WE Ch. 2.1 - Prob. 8WE Ch. 2.1 - Prob. 9WE Ch. 2.1 - Prob. 10WE Ch. 2.1 - Prob. 11WE Ch. 2.1 - Prob. 12WE Ch. 2.1 - Prob. 13WE Ch. 2.1 - Prob. 14WE Ch. 2.1 - Prob. 15WE Ch. 2.1 - Prob. 16WE Ch. 2.1 - Prob. 17WE Ch. 2.1 - Prob. 18WE Ch. 2.1 - Prob. 19WE Ch. 2.1 - Prob. 20WE Ch. 2.1 - Prob. 21WE Ch. 2.1 - Prob. 22WE Ch. 2.1 - Prob. 23WE Ch. 2.1 - Prob. 24WE Ch. 2.1 - Prob. 25WE Ch. 2.1 - Prob. 26WE Ch. 2.1 - Prob. 27WE Ch. 2.1 - Prob. 28WE Ch. 2.1 - Prob. 29WE Ch. 2.1 - Prob. 30WE Ch. 2.1 - Prob. 31WE Ch. 2.1 - Prob. 32WE Ch. 2.1 - Prob. 33WE Ch. 2.1 - Prob. 1MRE Ch. 2.1 - Prob. 2MRE Ch. 2.1 - Prob. 3MRE Ch. 2.1 - Prob. 4MRE Ch. 2.1 - Prob. 5MRE Ch. 2.1 - Prob. 6MRE Ch. 2.1 - Prob. 7MRE Ch. 2.1 - Prob. 8MRE Ch. 2.1 - Prob. 9MRE Ch. 2.1 - Prob. 10MRE Ch. 2.1 - Prob. 11MRE Ch. 2.1 - Prob. 12MRE Ch. 2.1 - Prob. 1CE Ch. 2.1 - Prob. 2CE Ch. 2.1 - Prob. 3CE Ch. 2.1 - Prob. 4CE Ch. 2.2 - Prob. 1OE Ch. 2.2 - Prob. 2OE Ch. 2.2 - Prob. 3OE Ch. 2.2 - Prob. 4OE Ch. 2.2 - Prob. 5OE Ch. 2.2 - Prob. 6OE Ch. 2.2 - Prob. 7OE Ch. 2.2 - Prob. 8OE Ch. 2.2 - Prob. 9OE Ch. 2.2 - Prob. 10OE Ch. 2.2 - Prob. 11OE Ch. 2.2 - Prob. 12OE Ch. 2.2 - Prob. 13OE Ch. 2.2 - Prob. 14OE Ch. 2.2 - Prob. 1WE Ch. 2.2 - Prob. 2WE Ch. 2.2 - Prob. 3WE Ch. 2.2 - Prob. 4WE Ch. 2.2 - Prob. 5WE Ch. 2.2 - Prob. 6WE Ch. 2.2 - Prob. 7WE Ch. 2.2 - Prob. 8WE Ch. 2.2 - Prob. 9WE Ch. 2.2 - Prob. 10WE Ch. 2.2 - Prob. 11WE Ch. 2.2 - Prob. 12WE Ch. 2.2 - Prob. 13WE Ch. 2.2 - Prob. 14WE Ch. 2.2 - Prob. 15WE Ch. 2.2 - Prob. 16WE Ch. 2.2 - Prob. 17WE Ch. 2.2 - Prob. 18WE Ch. 2.2 - Prob. 19WE Ch. 2.2 - Prob. 20WE Ch. 2.2 - Prob. 21WE Ch. 2.2 - Prob. 22WE Ch. 2.2 - Prob. 23WE Ch. 2.2 - Prob. 24WE Ch. 2.2 - Prob. 25WE Ch. 2.2 - Prob. 26WE Ch. 2.2 - Prob. 27WE Ch. 2.2 - Prob. 28WE Ch. 2.2 - Prob. 29WE Ch. 2.2 - Prob. 30WE Ch. 2.2 - Prob. 31WE Ch. 2.2 - Prob. 32WE Ch. 2.2 - Prob. 33WE Ch. 2.2 - Prob. 34WE Ch. 2.2 - Prob. 35WE Ch. 2.2 - Prob. 36WE Ch. 2.3 - Prob. 1OE Ch. 2.3 - Prob. 2OE Ch. 2.3 - Prob. 3OE Ch. 2.3 - Prob. 4OE Ch. 2.3 - Prob. 5OE Ch. 2.3 - Prob. 6OE Ch. 2.3 - Prob. 7OE Ch. 2.3 - Prob. 8OE Ch. 2.3 - Prob. 9OE Ch. 2.3 - Prob. 10OE Ch. 2.3 - Prob. 11OE Ch. 2.3 - Prob. 12OE Ch. 2.3 - Prob. 13OE Ch. 2.3 - Prob. 14OE Ch. 2.3 - Prob. 15OE Ch. 2.3 - Prob. 16OE Ch. 2.3 - Prob. 1MRE Ch. 2.3 - Prob. 2MRE Ch. 2.3 - Prob. 3MRE Ch. 2.3 - Prob. 4MRE Ch. 2.3 - Prob. 5MRE Ch. 2.3 - Prob. 6MRE Ch. 2.3 - Prob. 7MRE Ch. 2.3 - Prob. 8MRE Ch. 2.3 - Prob. 9MRE Ch. 2.3 - Prob. 10MRE Ch. 2.3 - Prob. 1ST Ch. 2.3 - Prob. 2ST Ch. 2.3 - Prob. 3ST Ch. 2.3 - Prob. 4ST Ch. 2.3 - Prob. 5ST Ch. 2.3 - Prob. 6ST Ch. 2.3 - Prob. 7ST Ch. 2.4 - Prob. 1OE Ch. 2.4 - Prob. 2OE Ch. 2.4 - Prob. 3OE Ch. 2.4 - Prob. 4OE Ch. 2.4 - Prob. 5OE Ch. 2.4 - Prob. 6OE Ch. 2.4 - Prob. 7OE Ch. 2.4 - Prob. 8OE Ch. 2.4 - Prob. 9OE Ch. 2.4 - Prob. 10OE Ch. 2.4 - Prob. 11OE Ch. 2.4 - Prob. 1WE Ch. 2.4 - Prob. 2WE Ch. 2.4 - Prob. 3WE Ch. 2.4 - Prob. 4WE Ch. 2.4 - Prob. 5WE Ch. 2.4 - Prob. 6WE Ch. 2.4 - Prob. 7WE Ch. 2.4 - Prob. 8WE Ch. 2.4 - Prob. 9WE Ch. 2.4 - Prob. 10WE Ch. 2.4 - Prob. 11WE Ch. 2.4 - Prob. 12WE Ch. 2.4 - Prob. 13WE Ch. 2.4 - Prob. 14WE Ch. 2.4 - Prob. 15WE Ch. 2.4 - Prob. 16WE Ch. 2.4 - Prob. 17WE Ch. 2.4 - Prob. 18WE Ch. 2.4 - Prob. 19WE Ch. 2.4 - Prob. 20WE Ch. 2.4 - Prob. 21WE Ch. 2.4 - Prob. 22WE Ch. 2.4 - Prob. 23WE Ch. 2.4 - Prob. 24WE Ch. 2.4 - Prob. 25WE Ch. 2.4 - Prob. 26WE Ch. 2.4 - Prob. 27WE Ch. 2.4 - Prob. 28WE Ch. 2.4 - Prob. 29WE Ch. 2.4 - Prob. 30WE Ch. 2.4 - Prob. 31WE Ch. 2.4 - Prob. 32WE Ch. 2.4 - Prob. 33WE Ch. 2.4 - Prob. 34WE Ch. 2.4 - Prob. 1CE Ch. 2.4 - Prob. 2CE Ch. 2.5 - Prob. 1OE Ch. 2.5 - Prob. 2OE Ch. 2.5 - Prob. 3OE Ch. 2.5 - Prob. 4OE Ch. 2.5 - Prob. 5OE Ch. 2.5 - Prob. 6OE Ch. 2.5 - Prob. 7OE Ch. 2.5 - Prob. 8OE Ch. 2.5 - Prob. 9OE Ch. 2.5 - Prob. 10OE Ch. 2.5 - Prob. 11OE Ch. 2.5 - Prob. 12OE Ch. 2.5 - Prob. 13OE Ch. 2.5 - Prob. 14OE Ch. 2.5 - Prob. 15OE Ch. 2.5 - Prob. 16OE Ch. 2.5 - Prob. 17OE Ch. 2.5 - Prob. 18OE Ch. 2.5 - Prob. 19OE Ch. 2.5 - Prob. 20OE Ch. 2.5 - Prob. 21OE Ch. 2.5 - Prob. 22OE Ch. 2.5 - Prob. 23OE Ch. 2.5 - Prob. 24OE Ch. 2.5 - Prob. 1WE Ch. 2.5 - Prob. 2WE Ch. 2.5 - Prob. 3WE Ch. 2.5 - Prob. 4WE Ch. 2.5 - Prob. 5WE Ch. 2.5 - Prob. 6WE Ch. 2.5 - Prob. 7WE Ch. 2.5 - Prob. 8WE Ch. 2.5 - Prob. 9WE Ch. 2.5 - Prob. 10WE Ch. 2.5 - Prob. 11WE Ch. 2.5 - Prob. 12WE Ch. 2.5 - Prob. 13WE Ch. 2.5 - Prob. 14WE Ch. 2.5 - Prob. 15WE Ch. 2.5 - Prob. 16WE Ch. 2.5 - Prob. 17WE Ch. 2.5 - Prob. 18WE Ch. 2.5 - Prob. 19WE Ch. 2.5 - Prob. 20WE Ch. 2.5 - Prob. 21WE Ch. 2.5 - Prob. 22WE Ch. 2.5 - Prob. 23WE Ch. 2.5 - Prob. 24WE Ch. 2.5 - Prob. 25WE Ch. 2.5 - Prob. 26WE Ch. 2.5 - Prob. 27WE Ch. 2.5 - Prob. 28WE Ch. 2.5 - Prob. 29WE Ch. 2.5 - Prob. 30WE Ch. 2.5 - Prob. 31WE Ch. 2.5 - Prob. 32WE Ch. 2.5 - Prob. 33WE Ch. 2.5 - Prob. 1MRE Ch. 2.5 - Prob. 2MRE Ch. 2.5 - Prob. 3MRE Ch. 2.5 - Prob. 4MRE Ch. 2.5 - Prob. 5MRE Ch. 2.5 - Prob. 6MRE Ch. 2.5 - Prob. 7MRE Ch. 2.5 - Prob. 8MRE Ch. 2.5 - Prob. 9MRE Ch. 2.5 - Prob. 1ST Ch. 2.5 - Prob. 2ST Ch. 2.5 - Prob. 3ST Ch. 2.5 - Prob. 4ST Ch. 2.5 - Prob. 5ST Ch. 2.5 - Prob. 6ST Ch. 2.5 - Prob. 1E Ch. 2.5 - Prob. 2E Ch. 2.5 - Prob. 3E Ch. 2.5 - Prob. 4E Ch. 2.5 - Prob. 5E Ch. 2.5 - Prob. 6E Ch. 2.5 - Prob. 7E Ch. 2.5 - Prob. 8E Ch. 2.6 - Prob. 1OE Ch. 2.6 - Prob. 2OE Ch. 2.6 - Prob. 3OE Ch. 2.6 - Prob. 4OE Ch. 2.6 - Prob. 5OE Ch. 2.6 - Prob. 6OE Ch. 2.6 - Prob. 7OE Ch. 2.6 - Prob. 8OE Ch. 2.6 - Prob. 1WE Ch. 2.6 - Prob. 2WE Ch. 2.6 - Prob. 3WE Ch. 2.6 - Prob. 4WE Ch. 2.6 - Prob. 5WE Ch. 2.6 - Prob. 6WE Ch. 2.6 - Prob. 7WE Ch. 2.6 - Prob. 8WE Ch. 2.6 - Prob. 9WE Ch. 2.6 - Prob. 10WE Ch. 2.6 - Prob. 11WE Ch. 2.6 - Prob. 12WE Ch. 2.6 - Prob. 13WE Ch. 2.6 - Prob. 14WE Ch. 2.6 - Prob. 15WE Ch. 2.6 - Prob. 16WE Ch. 2.6 - Prob. 17WE Ch. 2.6 - Prob. 18WE Ch. 2.6 - Prob. 19WE Ch. 2.6 - Prob. 20WE Ch. 2.6 - Prob. 21WE Ch. 2.6 - Prob. 22WE Ch. 2.6 - Prob. 23WE Ch. 2.6 - Prob. 24WE Ch. 2.6 - Prob. 25WE Ch. 2.7 - Prob. 1OE Ch. 2.7 - Prob. 2OE Ch. 2.7 - Prob. 3OE Ch. 2.7 - Prob. 1WE Ch. 2.7 - Prob. 2WE Ch. 2.7 - Prob. 3WE Ch. 2.7 - Prob. 4WE Ch. 2.7 - Prob. 5WE Ch. 2.7 - Prob. 6WE Ch. 2.7 - Prob. 7WE Ch. 2.7 - Prob. 8WE Ch. 2.7 - Prob. 9WE Ch. 2.7 - Prob. 10WE Ch. 2.7 - Prob. 11WE Ch. 2.7 - Prob. 12WE Ch. 2.7 - Prob. 13WE Ch. 2.7 - Prob. 14WE Ch. 2.7 - Prob. 15WE Ch. 2.7 - Prob. 16WE Ch. 2.7 - Prob. 17WE Ch. 2.7 - Prob. 18WE Ch. 2.7 - Prob. 1MRE Ch. 2.7 - Prob. 2MRE Ch. 2.7 - Prob. 3MRE Ch. 2.7 - Prob. 4MRE Ch. 2.7 - Prob. 5MRE Ch. 2.7 - Prob. 6MRE Ch. 2.7 - Prob. 7MRE Ch. 2.7 - Prob. 8MRE Ch. 2.7 - Prob. 9MRE Ch. 2.7 - Prob. 1ST Ch. 2.7 - Prob. 2ST Ch. 2.7 - Prob. 3ST Ch. 2 - Prob. 1CR Ch. 2 - Prob. 2CR Ch. 2 - Prob. 3CR Ch. 2 - Prob. 4CR Ch. 2 - Prob. 5CR Ch. 2 - Prob. 6CR Ch. 2 - Prob. 7CR Ch. 2 - Prob. 8CR Ch. 2 - Prob. 9CR Ch. 2 - Prob. 10CR Ch. 2 - Prob. 11CR Ch. 2 - Prob. 12CR Ch. 2 - Prob. 13CR Ch. 2 - Prob. 1CT Ch. 2 - Prob. 2CT Ch. 2 - Prob. 3CT Ch. 2 - Prob. 4CT Ch. 2 - Prob. 5CT Ch. 2 - Prob. 6CT Ch. 2 - Prob. 7CT Ch. 2 - Prob. 8CT Ch. 2 - Prob. 9CT Ch. 2 - Prob. 10CT Ch. 2 - Prob. 11CT Ch. 2 - Prob. 12CT Ch. 2 - Prob. 13CT Ch. 2 - Prob. 14CT Ch. 2 - Prob. 15CT Ch. 2 - Prob. 16CT Ch. 2 - Prob. 1E Ch. 2 - Prob. 2E Ch. 2 - Prob. 3E Ch. 2 - Prob. 4E Ch. 2 - Prob. 5E Ch. 2 - Prob. 6E Ch. 2 - Prob. 7E Ch. 2 - Prob. 8E Ch. 2 - Prob. 9E Ch. 2 - Prob. 10E Ch. 2 - Prob. 11E Ch. 2 - Prob. 12E Ch. 2 - Prob. 13E Ch. 2 - Prob. 14E Ch. 2 - Prob. 15E Ch. 2 - Prob. 16E Ch. 2 - Prob. 17E Ch. 2 - Prob. 18E Ch. 2 - Prob. 1MPS Ch. 2 - Prob. 2MPS Ch. 2 - Prob. 3MPS Ch. 2 - Prob. 4MPS Ch. 2 - Prob. 5MPS Ch. 2 - Prob. 6MPS Ch. 2 - Prob. 7MPS Ch. 2 - Prob. 8MPS Ch. 2 - Prob. 9MPS Ch. 2 - Prob. 10MPS Ch. 2 - Prob. 11MPS Ch. 2 - Prob. 12MPS Ch. 2 - Prob. 13MPS Ch. 2 - Prob. 14MPS

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