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

Contessa is solving the inequality 5 ≥ q ≥ 1.

Step-by-step explanation:

Contessa is solving an absolute value inequality represented by the compound inequality -7 ≤ 8-3q ≤ 7. In this inequality, she is solving for the values of 'q' that satisfy both -7 ≤ 8-3q and 8-3q ≤ 7.

To solve this inequality, Contessa needs to isolate 'q' in the middle of the compound inequality. By subtracting 8 from all sides, she can rewrite the inequality as -15 ≤ -3q ≤ -1.

Then, by dividing by -3, she can divide all sides by -3, resulting in 5 ≥ q ≥ 1.

So, the inequality Contessa is solving is 5 ≥ q ≥ 1.