Using a number line explain why multiplying or dividing by a negative number causes the direction of inequality to flip. Namely explain why −x > −5 becomes x < 5. 2. Explain how you obtain the solution to the compound inequality (using a num- ber line) x − 1 ≤ 3x + 4 ≤ x + 1 3. What is the solution to |3x − 4| ≤ 5 and to |3x − 4| ≥ 5. Plot both solutions on a
Using a number line explain why multiplying or dividing by a negative number causes the direction of inequality to flip. Namely explain why −x > −5 becomes x < 5. 2. Explain how you obtain the solution to the compound inequality (using a num- ber line) x − 1 ≤ 3x + 4 ≤ x + 1 3. What is the solution to |3x − 4| ≤ 5 and to |3x − 4| ≥ 5. Plot both solutions on a
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. Using a number line explain why multiplying or dividing by a negative number
causes the direction of inequality to flip. Namely explain why −x > −5 becomes
x < 5.
2. Explain how you obtain the solution to the compound inequality (using a num-
ber line) x − 1 ≤ 3x + 4 ≤ x + 1
3. What is the solution to |3x − 4| ≤ 5 and to |3x − 4| ≥ 5. Plot both solutions on a
number line and comment on any interesting observations you can make.
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