contessa is solving an absolute - value inequality. she writes the compound inequality - 7≤8 - 3q≤7 as her…

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?\n|8 - 3q|≥7\n|8 - 3q|≥0\n|8 - 3q|≤7\n|8 - 3q|≤0

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?\n|8 - 3q|≥7\n|8 - 3q|≥0\n|8 - 3q|≤7\n|8 - 3q|≤0

Answer

Answer:

C. $|8 - 3q|\leq7$

Explanation:

Step1: Recall absolute - value rule

For $|x|\leq a$ ($a\geq0$), it is equivalent to $-a\leq x\leq a$.

Step2: Identify $x$ and $a$

Here $x = 8 - 3q$ and $a = 7$. Since $-7\leq8 - 3q\leq7$, the original absolute - value inequality is $|8 - 3q|\leq7$.