Explanation Given: The inequality is | x − 4 | ≤ 1 . Formula used: In the absolute value equation, if | a x + b | ≤ k , where k ≥ 0 then − k ≤ a x + b ≤ k . Calculation: The inequality is | x − 4 | ≤ 1 . By the absolute value equation, if | a x + b | ≤ k , where k ≥ 0 then − k ≤ a x + b ≤ k . − 1 ≤ x − 4 ≤ 1 Add 4 on both sides. − 1 + 4 ≤ x − 4 + 4 ≤ 1 + 4 Solve the above equation. 3 ≤ x ≤ 5 Part a: Find the maximum value at | x + 4 |

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Question

Chapter 1.1, Problem 30E

To determine

a. Find the maximum possible value of |x+4| ?

b. Show that |x2−16|≤9.

Expert Solution & Answer

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Chapter 1.1, Problem 29E

Chapter 1.1, Problem 31E

Chapter 1 Solutions

Calculus - Standalone book

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a. Find the maximum possible value of | x + 4 | ? b. Show that | x 2 − 16 | ≤ 9 .

Solution Summary: The author explains how the inequality is left|x+4right|le 1 and calculates it by adding 4 on both sides.

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a. Find the maximum possible value of |x+4| ?

b. Show that |x2−16|≤9.

Want to see the full answer?

Chapter 1 Solutions

a. Find the maximum possible value of | x + 4 | ? b. Show that | x 2 − 16 | ≤ 9 .

Solution Summary: The author explains how the inequality is left|x+4right|le 1 and calculates it by adding 4 on both sides.

Concept explainers

Videos

a. Find the maximum possible value of |x+4| ? b. Show that |x2−16|≤9.

Want to see the full answer?

Chapter 1 Solutions

a. Find the maximum possible value of |x+4| ?

b. Show that |x2−16|≤9.