How to Solve for Interval with Abs and Max Functions?

Thread starter zli034
Start date Apr 22, 2013
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Interval

AI Thread Summary

To solve the inequality involving absolute and maximum functions, it is essential to graph the functions to visualize their behavior. Understanding when the maximum function switches between expressions is crucial for determining the intervals. Analyzing the impact of the absolute value on the functions will also aid in solving the problem. This approach helps clarify the relationships and transitions between the functions. Properly interpreting these elements will lead to the correct solution for the interval.

Apr 22, 2013

zli034

Hi all:

The inequality here involves abs, and max functions, how to solve for the interval as show below?

attachment.php?attachmentid=58110&d=1366636107.jpg

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Apr 22, 2013

CompuChip

Science Advisor

Homework Helper

The very first thing you should probably do is draw the functions.
This will require you to think already about, for example, when the max switches from one expression to the other, and what the abs does here.

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