Contessa is solving an absolute value inequality. She writes the compound inequality - 7<8-3q<7 as her first step. Which inequality is Contessa solving?

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Today, 07:32

Contessa is solving an absolute value inequality. She writes the compound inequality - 7<8-3q<7 as her first step. Which inequality is Contessa solving?

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Nikhil Bauer · Answer 1

Nikhil Bauer Today, 07:46

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The answer is C. I8-3qI ≤ 7

Mike Castaneda · Answer 2

If you would like to know which inequality is Contessa solving, you can find this using the following steps:

Let's start with the definition of absolute value:

|q| ... the distance of q from 0

e. g., |q| < 1 ... - 1 < q < 1

That means if the compound inequality is - 7 < 8-3q < 7, then the original inequality would be |8-3q| < 7.

The correct result would be |8-3q| < 7.