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Let S be the union of the two intervals (−∞,−6]\ and [−4,∞) Then S can also be described by the inequality |x−a|≥b how do you find a and b?

Let S be the union of the two intervals (−∞,−6]\ and [−4,∞) Then S can also be described by the inequality |x−a|≥b how do you find a and b?

Algebra and Trigonometry (6th Edition)
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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 Let S be the union of the two intervals (−∞,−6]\ and [−4,∞)
Then S can also be described by the inequality |x−a|≥b

how do you find a and b?

 

Expert Solution
Step 1: Define the problem.

Let S be the union of the two intervals (negative infinity comma space minus 6] and [negative 4 comma space infinity).

Then S can also be described by the inequality open vertical bar straight x minus straight a close vertical bar greater or equal than straight b.

To find straight a space and space straight b.

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