Question

select the correct answer.
what is the value of this expression when g = -3.5?
8 - |2g - 5|

a. 20
b. 10
c. 6
d. -4

Explanation:

Step1: Substitute \( g = -3.5 \) into \( 2g - 5 \)

First, we calculate the value inside the absolute - value. Substitute \( g=-3.5\) into \( 2g - 5\):
\(2\times(-3.5)-5=-7 - 5=-12\)

Step2: Calculate the absolute value

The absolute value of a number \(x\) is defined as \(|x|=

$$\begin{cases}x, & x\geq0\\-x, & x < 0\end{cases}$$

\). Since \(-12<0\), then \(|2g - 5|=|-12| = 12\)

Step3: Calculate the final value of the expression

Now we substitute \(|2g - 5| = 12\) into the original expression \(8-|2g - 5|\):
\(8-12=-4\)

Answer:

D. -4