Mathematics
Absolute Value is Hard

Question Description

I’m studying for my Algebra class and don’t understand how to answer this. Can you help me study?

|2x+8|<10

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Final Answer

This implies 2x+8 <10

2x < 10-8

2x < 2

x < 1

or-(2x+8) <10

-2x-8 <10

-2x<10+8

-2x < 18

x > -9 ( division by negative number reverses the inequality

Answer: 

x < 1

or x > -9

madhavant (2757)
Duke University

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