To find the value of the expression [tex]\( 8 - |2g - 5| \)[/tex] when [tex]\( g = -3.5 \)[/tex], follow these steps:
1. Substitute [tex]\( g = -3.5 \)[/tex] into the expression [tex]\( 2g - 5 \)[/tex]:
[tex]\[
2(-3.5) - 5
\][/tex]
2. Calculate the multiplication and subtraction:
[tex]\[
2 \times -3.5 = -7
\][/tex]
[tex]\[
-7 - 5 = -12
\][/tex]
3. Find the absolute value of the result from step 2:
[tex]\[
|-12| = 12
\][/tex]
4. Substitute the absolute value back into the original expression:
[tex]\[
8 - 12
\][/tex]
5. Calculate the final result:
[tex]\[
8 - 12 = -4
\][/tex]
So, the value of the expression [tex]\( 8 - |2g - 5| \)[/tex] when [tex]\( g = -3.5 \)[/tex] is [tex]\(-4\)[/tex].
The correct answer is:
D. -4
