Question

In the following exercises simplify.

$9-\left|3\left(4-8\right)\right|$

Short answer

The given absolute value expression is simplified to$-3$.

Step-by-step solution

Step 1. Given information

The expression is$9-\left|3\left(4-8\right)\right|$

Step 2.Concept used

• The modulus of the positive numbers is positive.
• The modulus of the negative numbers is also positive.

Step 3. Simplify

$$\begin{gathered} 9-\left|3(4-8)\right|=9-\left|3\left(-4\right)\right|\text{Simplifyinsidethemodulus} \\ =9-\left|-12\right| \\ =9-12\text{Since},\left|-12\right|=12 \\ =-3 \end{gathered}$$

Hence, the simplified value is $-3.$