To determine To solve: The inequality 4 x − 3 > 2 x + 7 and graph the solution set. Explanation Result used: Principles for solving inequalities: The Addition Principle for Inequalities: “For any real numbers a , b and c , if a < b is true, then a + c < b + c is true”. The Multiplication Principle for Inequalities: “For any real numbers a , b and c , a) If a < b and c > 0 are true, then a c < b c is true. b) If a < b and c < 0 are true, then a c > b c is true. (When both sides of an inequality are multiplied by a negative number, the inequality sign must be reversed.)”. Calculation: The given inequality is 4 x − 3 > 2 x + 7 . Compute the solution set of the inequality 4 x − 3 > 2 x + 7 as below. 4 x − 3 > 2 x + 7 4 x − 2 x − 3 > 2 x − 2 x + 7 [ By addition principle subtract 2 x ] 2 x − 3 + 3 > 7 + 3 [ By addition principle add 3 ] x > 10 2

6th Edition

ISBN: 9780134383385

Author: Penna

Publisher: VST

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Question

Chapter 1.6, Problem 1E

To determine

To solve: The inequality 4x−3>2x+7 and graph the solution set.

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Chapter 1.5, Problem 105E

Chapter 1.6, Problem 2E

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Chapter 1 Solutions

EBK ALGEBRA AND TRIGONOMETRY

Ch. 1.1 - Use the following graph for Exercises 1 and 2. 1....Ch. 1.1 - Use the following graph for Exercises 1 and 2. 2....Ch. 1.1 - Graph and label the given points. (4, 0), (−3,...Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Use substitution to determine whether the given...Ch. 1.1 - Prob. 10E

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From October 2013 to...Ch. 1.5 - Prob. 60E Ch. 1.5 - Prob. 61E Ch. 1.5 - Prob. 62E Ch. 1.5 - Prob. 63E Ch. 1.5 - Prob. 64E Ch. 1.5 - Prob. 65E Ch. 1.5 - Prob. 66E Ch. 1.5 - Prob. 67E Ch. 1.5 - Prob. 68E Ch. 1.5 - Prob. 69E Ch. 1.5 - Prob. 70E Ch. 1.5 - Prob. 71E Ch. 1.5 - Prob. 72E Ch. 1.5 - Prob. 73E Ch. 1.5 - Prob. 74E Ch. 1.5 - Prob. 75E Ch. 1.5 - Prob. 76E Ch. 1.5 - Prob. 77E Ch. 1.5 - Prob. 78E Ch. 1.5 - Prob. 79E Ch. 1.5 - Prob. 80E Ch. 1.5 - Prob. 81E Ch. 1.5 - Prob. 82E Ch. 1.5 - Prob. 83E Ch. 1.5 - Prob. 84E Ch. 1.5 - Prob. 85E Ch. 1.5 - Prob. 86E Ch. 1.5 - Prob. 87E Ch. 1.5 - Prob. 88E Ch. 1.5 - Prob. 89E Ch. 1.5 - Prob. 90E Ch. 1.5 - Prob. 91E Ch. 1.5 - Prob. 92E Ch. 1.5 - Prob. 93E Ch. 1.5 - Prob. 94E Ch. 1.5 - Prob. 95E Ch. 1.5 - Prob. 96E Ch. 1.5 - Prob. 97E Ch. 1.5 - Prob. 98E Ch. 1.5 - Prob. 99E Ch. 1.5 - Prob. 100E Ch. 1.5 - Prob. 101E Ch. 1.5 - Prob. 102E Ch. 1.5 - Prob. 103E Ch. 1.5 - Prob. 104E Ch. 1.5 - Prob. 105E Ch. 1.6 - Solve and graph the solution set. 4x − 3 > 2x +...Ch. 1.6 - 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The inequality 4 x − 3 &gt; 2 x + 7 and graph the solution set.

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Chapter 1 Solutions

The inequality 4 x − 3 > 2 x + 7 and graph the solution set.