Answer Friend is not correct. Explanation Given: Absolute value equation | 3 x + 8 | − 9 = − 5 Calculation: 1 Although the constant on the right side is negative does not mean there is no solution. Because the negative nine is outside the absolute value, the solution can exist. 2 | 3 x + 8 | − 9 = − 5 Example 3 | 3 x + 8 | = 4 Isolate the absolute value 4 ( 3 x + 8 ) = 4 − ( 3 x + 8 ) = 4 Make one part of the absolute value positive and the other negative 5 3 x = − 4 − 3 x = 12 Solve for the x values 6 x = − 4 3 x = − 4 2 solutions for x RESULT No, Friend is not correct. Conclusion: Friend is not correct.

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 1.4, Problem 46E

To determine

whether the friend is correct

Expert Solution & Answer

Answer to Problem 46E

Friend is not correct.

Explanation of Solution

Given:

Absolute value equation |3x+8|−9=−5

Calculation:

1 Although the constant on the right side is negative does not mean there is no solution. Because the negative nine is outside the absolute value, the solution can exist.
2 \|3x+8\|−9=−5		Example
3 \|3x+8\|=4		Isolate the absolute value
4 (3x+8)=4	−(3x+8)=4	Make one part of the absolute value positive and the other negative
5 3x=−4	−3x=12	Solve for the x values
6 x=−43	x=−4	2 solutions for x

RESULT No, Friend is not correct.

Conclusion:

Friend is not correct.

Chapter 1.4, Problem 45E

Chapter 1.4, Problem 47E

Chapter 1 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E 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 - Prob. 9E Ch. 1.1 - Prob. 10E

Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - Prob. 57E Ch. 1.1 - Prob. 58E Ch. 1.1 - Prob. 59E Ch. 1.1 - Prob. 60E Ch. 1.1 - 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