Question

find the additive inverse of -4x - 8.

Explanation:

Step1: Recall the definition of additive inverse

The additive inverse of a number (or expression) \( a \) is a number (or expression) \( b \) such that \( a + b = 0 \). So, if we have an expression \( E \), its additive inverse \( A \) satisfies \( E+A = 0 \), which means \( A=-E \).

Step2: Apply the definition to the given expression

The given expression is \( - 4x-8 \). To find its additive inverse, we multiply the entire expression by \( - 1 \).

\[

$$\begin{align*} -(-4x - 8)&=(-1)\times(-4x)+(-1)\times(-8)\\ &= 4x + 8 \end{align*}$$

\]

Answer:

The additive inverse of \( - 4x - 8 \) is \( 4x + 8 \)