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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 69E
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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 |ï − 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.
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 |ï − 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.
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