Let's evaluate the given expression step-by-step to find its value when [tex]\( g = -3.5 \)[/tex].
The expression we need to evaluate is:
[tex]\[ 8 - |2g - 5| \][/tex]
First, substitute [tex]\( g = -3.5 \)[/tex] into the expression:
[tex]\[ 2g = 2(-3.5) = -7 \][/tex]
Thus, the inner part of the absolute value becomes:
[tex]\[ 2g - 5 = -7 - 5 = -12 \][/tex]
Now, we need to take the absolute value of [tex]\(-12\)[/tex]:
[tex]\[ |2g - 5| = |-12| = 12 \][/tex]
Next, we substitute this result back into the original expression:
[tex]\[ 8 - |2g - 5| = 8 - 12 \][/tex]
Finally, evaluate the result:
[tex]\[ 8 - 12 = -4 \][/tex]
So, the value of the expression when [tex]\( g = -3.5 \)[/tex] is [tex]\(-4\)[/tex].
The correct answer is:
D. -4
