Answer The compound inequality a < 6 or a > − 9 does not belong with the other three. Explanation Given information: Given inequality a > 4 or a < - 3 a < − 2 o r a > 8 a > 7 o r a < − 5 a < 6 o r a > − 9 . Calculation: It is required to find the inequality which does not belong to the other three. To analyze the difference between the above compound inequalities, first draw the graph of the above inequalities. The graphs of the above inequalities are shown below: Here, it can be noted that the graph of the first three inequalities are such that it extends indefinitely on both positive and negative sides of the number line whereas the graph of the fourth inequality is restricted between the points -9 and 6. In this respect, the fourth inequality given by a < 6 or a > − 9 is different from the other three compound inequalities. Thus, the compound inequality a < 6 or a > − 9 does not belong with the other three.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN: 9781680331141

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 2.5, Problem 2E

To determine

To find: the compound inequality does not belong with the other three.

Expert Solution & Answer

Answer to Problem 2E

The compound inequality a<6 or a>−9 does not belong with the other three.

Explanation of Solution

Given information:

Given inequality

a>4 or a<-3

a<−2 or a>8

a>7 or a<−5

a<6 or a>−9 .

Calculation:

It is required to find the inequality which does not belong to the other three.

To analyze the difference between the above compound inequalities, first draw the graph of the above inequalities.

The graphs of the above inequalities are shown below:

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 2.5, Problem 2E

Here, it can be noted that the graph of the first three inequalities are such that it extends indefinitely on both positive and negative sides of the number line whereas the graph of the fourth inequality is restricted between the points -9 and 6.

In this respect, the fourth inequality given by a<6 or a>−9 is different from the other three compound inequalities.

Thus, the compound inequality a<6 or a>−9 does not belong with the other three.

Chapter 2.5, Problem 1E

Chapter 2.5, Problem 3E

Chapter 2 Solutions

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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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