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 2, Problem 3CA

To determine

To Place: either into at least one integer solution or into no integer solutions

Expert Solution & Answer

Answer to Problem 3CA

At least one integer solution	No integer solutions
5x−6+x≥2x−8	x−8+4x≤3(x−3)+2x
9x−3<12 or 6x+2>−10	2(3x+8)>3(2x+6)
5(x−1)≤5x−3	17<4x+5<21

Explanation of Solution

Given:

First inequality =5x−6+x≥2x−8

Second inequality =x−8+4x≤3(x−3)+2x

Third inequality =2(3x+8)>3(2x+6)

Fourth inequality =9x−3<12 or 6x+2>−10

Fifth inequality =17<4x+5<21

Sixth inequality =5(x−1)≤5x−3

Calculation:

Solve the first inequality

5x−6+x≥2x−8

6x−6−2x≥2x−8−2x

4x−6≥−8

4x−6+6≥−8+6

4x≤−2

x≤−0.5

Solve the second inequality

x−8+4x≤3(x−3)+2x5x−8≤3x−9+2x5x−8≤5x−95x−8−5x≤5x−9−5x−8≤−9 (no solution)

Solve the third inequality

2(3x+8)>3(2x+6)6x+16>6x+186x+16−6x>6x+18−6x16>18 (no solution)

Solve the fourth inequality

9x−3<12 or 6x+2>−109x−3+3<12+3 or 6x+2−2>−10−29x<15 or 6x>−12x<53 or x>−2

Solve the fifth inequality

17<4x+5<2117−5<4x+5−5<21−512<4x<16

3<x<4 (no integer solution) Solve the sixth inequality

5(x−1)≤5x−35x−5≤5x−35x−5−5x≤5x−3−5x−5≤−3

Complete the table

At least one integer solution	No integer solutions
5x−6+x≥2x−8	x−8+4x≤3(x−3)+2x
9x−3<12 or 6x+2>−10	2(3x+8)>3(2x+6)
5(x−1)≤5x−3	17<4x+5<21

Conclusion:

Hence,the inequality is placed

Chapter 2, Problem 2CA

Chapter 2, Problem 4CA

Chapter 2 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

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

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.1 - Prob. 53E Ch. 2.1 - Prob. 54E Ch. 2.1 - Prob. 55E Ch. 2.1 - Prob. 56E Ch. 2.1 - Prob. 57E Ch. 2.1 - Prob. 58E Ch. 2.1 - Prob. 59E Ch. 2.1 - Prob. 60E Ch. 2.1 - 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