Prove: x ! y is logically equivalent to .:y/ ! .:x/

Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman

ISBN: 9780840049421 447

Solution for problem 7.4 Chapter 7

Mathematics: A Discrete Introduction | 3rd Edition

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Mathematics: A Discrete Introduction | 3rd Edition

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Problem 7.4

Prove: x ! y is logically equivalent to .:y/ ! .:x/.

Step-by-Step Solution:

Step 1 of 3

Math121 Chapter 3 Lesson 3.2 – Linear Equations in Two Variables EXAMPLE 1. -2x + 11(x + 2y) = 11x + y (When solving linear equations with two variables, we want to get it in the proper form ax + bx = c. If we cannot get it into this form, it is not linear! Simple enough, right So first, distribute the 11 to the x and 2y.) -2x + 11x + 22y = 11x + y (Now combine like terms.) 9x + 22y = 11x + y (Now, subtract the terms with variables on the right side of the equation from the left side of the equation to get it in the proper form.) -2x + 21y = 0 (Yes! It’s linear. Yay.) EXAMPLE 2. (y + 3) – y = -5x + 1 (First, factor out the (y + 3) .) y + 6y + 9 – y = -5x + 1 (Now, combine like terms on like sides of the equation.) 6y + 9 = -5x + 1 (Subtract terms with variables on the right side of the equation from the left side of the equation.) 6y + 5x = -8 (Yes! It’s linear, because this is i

Step 2 of 3

Chapter 7, Problem 7.4 is Solved

Step 3 of 3

Textbook: Mathematics: A Discrete Introduction

Edition: 3

Author: Edward A. Scheinerman

ISBN: 9780840049421

The answer to “Prove: x ! y is logically equivalent to .:y/ ! .:x/.” is broken down into a number of easy to follow steps, and 11 words. Since the solution to 7.4 from 7 chapter was answered, more than 249 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Mathematics: A Discrete Introduction, edition: 3. Mathematics: A Discrete Introduction was written by and is associated to the ISBN: 9780840049421. This full solution covers the following key subjects: . This expansive textbook survival guide covers 69 chapters, and 1110 solutions. The full step-by-step solution to problem: 7.4 from chapter: 7 was answered by , our top Math solution expert on 03/15/18, 06:06PM.