Determine whether each implication that follows is true or false. Use graphs to justify any implications that are true, and counterexamples for any implications that are false. 13. If 0 < |x – 2| < 1, then |x² – 4| < 0.5. 14. If 0 < |x – 2| < 0.2, then |x – 4| < 1. 15. If0 < |x - 이 < 0.75, then |x2-이 < 0.5. 16. If 0 < |x + 2| < 0.1 then |x² – 4| < 0.4. 17. If 0 < |x + 2| < 0.075, then |x² – 4| < 0.4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 4E
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Determine whether each implication that follows is true or
false. Use graphs to justify any implications that are true, and
counterexamples for any implications that are false.
13. If 0 < |x – 2| < 1, then |x² – 4| < 0.5.
14. If 0 < |x – 2| < 0.2, then |x – 4| < 1.
15. If0 < |x - 이 < 0.75, then |x2-이 < 0.5.
16. If 0 < |x + 2| < 0.1 then |x² – 4| < 0.4.
17. If 0 < |x + 2| < 0.075, then |x² – 4| < 0.4.
Transcribed Image Text:Determine whether each implication that follows is true or false. Use graphs to justify any implications that are true, and counterexamples for any implications that are false. 13. If 0 < |x – 2| < 1, then |x² – 4| < 0.5. 14. If 0 < |x – 2| < 0.2, then |x – 4| < 1. 15. If0 < |x - 이 < 0.75, then |x2-이 < 0.5. 16. If 0 < |x + 2| < 0.1 then |x² – 4| < 0.4. 17. If 0 < |x + 2| < 0.075, then |x² – 4| < 0.4.
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