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What is the value of the expression when [tex]\( g = -3.5 \)[/tex]?

[tex]\[ 8 - |2g - 5| \][/tex]

A. 20

B. 10

C. 6

D. -4

Sagot :

GinnyAnswer
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
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