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4. Consider the inequality | 2| < 3. As needed, reference back to the terminology of Exercise 3 above. A. State the solution to this inequality in interval notation. B. Consider your solution interval from part A. What is the width of the resulting solution interval? What is its midpoint? What is its radius? C. If the original inequality of interest were instead |¤ − 2| ≤ 3, exactly two additional real numbers must be included in your solution interval (as compared to your solution interval from part A). Which two real numbers are included in this case? Explain.

4. Consider the inequality | 2| < 3. As needed, reference back to the terminology of Exercise 3 above. A. State the solution to this inequality in interval notation. B. Consider your solution interval from part A. What is the width of the resulting solution interval? What is its midpoint? What is its radius? C. If the original inequality of interest were instead |¤ − 2| ≤ 3, exactly two additional real numbers must be included in your solution interval (as compared to your solution interval from part A). Which two real numbers are included in this case? Explain.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. Consider the inequality \( |x - 2| < 3 \). As needed, reference back to the terminology of Exercise 3 above. A. State the solution to this inequality in interval notation. B. Consider your solution interval from Part A. What is the width of the resulting solution interval? What is its midpoint? What is its radius? C. If the original inequality of interest were instead \( |x - 2| \leq 3 \), exactly two additional real numbers must be included in your solution interval (as compared to your solution interval from Part A). Which two real numbers are included in this case? Explain.
Transcribed Image Text:4. Consider the inequality \( |x - 2| < 3 \). As needed, reference back to the terminology of Exercise 3 above. A. State the solution to this inequality in interval notation. B. Consider your solution interval from Part A. What is the width of the resulting solution interval? What is its midpoint? What is its radius? C. If the original inequality of interest were instead \( |x - 2| \leq 3 \), exactly two additional real numbers must be included in your solution interval (as compared to your solution interval from Part A). Which two real numbers are included in this case? Explain.
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