Question

what is the additive inverse of the expression $2a + b$, where $a$ and $b$ are real numbers? options: $-2a - b$, $0$, $-1$, $2a - b$

Explanation:

Step1: Define additive inverse

The additive inverse of $x$ is $-x$, such that $x + (-x) = 0$.

Step2: Apply to given expression

Let $x = 2a + b$. Its additive inverse is $-(2a + b)$.

Step3: Simplify the expression

$-(2a + b) = -2a - b$

Answer:

$-2a - b$