Question

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?

Answer 1

Answer:

the answer is |8-3q|≤7

Step-by-step explanation:

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.